Faculty Adviser: Anastasios Kyrillidis
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Presenter: J. Lyle Kim
Faculty Adviser: Anastasios Kyrillidis
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Joint work with A. Kalev (USC), G. Kollias & K. Wei (IBM), & A. Kyrillidis (Rice)
Presenter: J. Lyle Kim
Faculty Adviser: Anastasios Kyrillidis
[ | | ]
Joint work with Mohammad Taha Toghani (Rice), Cesar A. Uribe (Rice), & A. Kyrillidis (Rice)
UCL Quantum Science and Technology Institute
UCL is launching a new Doctoral Training Programme focussing on quantum computation and quantum communications.
From 2024, UCL will train emerging research leaders in the fields of quantum computing and quantum communications.
This new doctorial training programme will equip them with the necessary expertise and practical knowledge to fulfil the potential of this ground-breaking field. Students will undergo a comprehensive and rigorous cross-disciplinary training programme, collaboratively designed by a diverse team of UCL academics and our extensive network of partners.
Interested in applying?
Deadline for applications: Sunday 4 February 2024 at 23:59 UTC.
We particularly encourage applications from female students & students of minority ethnic backgrounds as these are currently underrepresented within the field of quantum technologies.
The fields of quantum computation and quantum communications are at a pivotal juncture, as the next decade will determine whether the long-anticipated technological advancements can be realised in practical, commercially-viable applications.
With a wide-ranging spectrum of research group activities at UCL, the programme is uniquely situated to offer comprehensive training across all levels of the quantum computation and quantum communications system stacks. This encompasses advanced algorithms and quantum error-correcting codes, the full range of qubit hardware platforms, quantum communications, quantum network architectures, and quantum simulation.
The programme has been co-developed through a partnership between UCL and a network of UK and international partners. This network encompasses major global technology giants such as IBM, Amazon Web Services and Toshiba, as well as leading suppliers of quantum engineering systems like Keysight, Bluefors, Oxford Instruments and Zurich Instruments. We also have end-users of quantum technologies, including BT, Thales, NPL, and NQCC, in addition to a diverse group of UK and international SMEs operating in both quantum hardware (IQM, NuQuantum, Quantum Motion, SeeQC, Pasqal, Oxford Ionics, Universal Quantum, Oxford Quantum Circuits and Quandela) and quantum software (Quantinuum, Phase Craft and River Lane).
Our partners will deliver key components of the training programme. Notably, BT will deliver training in quantum comms theory and experiments, IBM will teach quantum programming, and Quantum Motion will lead a training experiment on semiconductor qubits. Furthermore, 17 of our partners will co-sponsor and co-supervise PhD projects in collaboration with UCL academics.
The four-year course consists of a 6-month cohort-based intensive training programme (ITP) followed by a 42-month research project phase (RPP) leading to the PhD degree.
The ITP gives a broad overview of all the sub-topics within quantum computation and quantum communications, while the RPP allows specialisation and in-depth focus on a specific experimental or theoretical topic. There is however no hard boundary between the phases - there is research activity within the ITP, and cohort-based technical and transferable skills training in the RPP.
Find out more about the structure of the programme.
At the application stage (i.e. in the spring prior to enrolment) students will have the opportunity to apply for industrially co-sponsored and co-supervised projects and/or the General Track.
In the industrially co-supervised track we will advertise specific industrially co-sponsored PhD projects and will recruit students to work on each specific project.
In the general track students will apply to join the programme without a specific PhD project in mind.
Once the students are enrolled, both tracks come together and work as a single unified cohort on common training activities.
To select a track, you will need to complete a supplementary information form. More information can be found on the how to apply page.
A full list of the co-sponsored and co-supervised projects for this year.
We aim to admit around 14 students per year. There is a pool of around fifty potential supervisors at UCL, with additional supervisors in our partner institutions.
The programme offers fully funded studentships covering tuition fees and a stipend at an enhanced rate (currently £21,622 per annum tax-free) to cover living costs. Students also receive generous support for training, research expenses and travel during their studies. A limited number of funded places are available for non-UK candidates which will additionally cover the higher tuition fees charged for those students.
Yes! Our quantum doctoral training programmes have admitted students from all over the globe. We have funding for international students in each cohort and welcome their application. Please follow this link for further information on funding for international students and language and visa requirements.
If you have a general question about quantum doctoral training, please contact Ms Lopa Murgai ( [email protected] ) in the first instance. If your question is regarding quantum doctoral training admissions, please contact Admissions Tutor Dr Alfonso Ruocco ( [email protected] ).
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After earning a master’s degree, most graduates set their sights on a doctoral degree or PhD. A PhD is the highest level of education, and earning this esteemed degree will skyrocket your employability potential, industry credibility, and salary range. In this article, we share the best PhDs in Quantum Computing and the expected PhD in Quantum Computing salary.
Besides being highly paid, this field of study offers many exciting opportunities to work with pioneering theory in quantum information technology. PhD in Quantum Computing students will participate in ground-breaking research and upon graduation will be eligible for the best quantum computing jobs in the tech industry.
What is a phd in quantum computing.
A PhD in Quantum Computing is the highest level of education for professionals in quantum technology. The degree takes four to six years to complete and covers different quantum computing theories, including quantum simulation, quantum sensing, quantum communication, and quantum information theory. The PhD degree facilitates advanced research and facilitates innovative discoveries.
The core requirements to get into a quantum computing PhD program are a master’s degree in computer science, math, physics, or a related field, a resume highlighting your work experience, letters of recommendation, and a GRE or GMAT score. Additional admission requirements include application fees, English proficiency test scores, transcripts, a statement of purpose, essays, and a high GPA.
Generally, these are the minimum PhD admission requirements, but the prerequisites can differ from school to school. You will find a detailed list of requirements on the selected school’s website.
It is extremely hard to get into a PhD program in quantum computing. Quantum computing is difficult to learn, and a PhD demands a lot of attention to detail, research, and one-on-one interactions between students and professors. That means that universities maintain small class sizes to ensure student success.
The Council of Graduate Schools survey indicates that the overall PhD acceptance rate is 22.3 percent . Public universities accept approximately 26.4 percent of applicants, while private universities accept 16.3 percent of applicants. These numbers will vary by school. For example, the University of South Carolina admits 10-15 percent of its PhD applicants , and Harvard University admits approximately seven percent of the doctoral degree applicants.
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School | Program | Online Option |
---|---|---|
California Institute of Technology | PhD in Computing and Mathematical Sciences | No |
Capitol Technology University | PhD in Quantum Computing | Yes |
Harvard University | PhD in Quantum Science and Engineering | Yes |
Massachusetts Institute of Technology (MIT) | PhD in Physics, Statistics, Data Science | No |
Purdue University | PhD in Physics | No |
University of California, Berkeley | PhD in Physics | No |
University of Chicago | PhD in Quantum Science and Engineering | No |
University of Maryland | PhD in Computer Science | Yes |
University of Oxford | PhD in Computer Science | No |
University of Waterloo | PhD in Physics (Quantum Information) | Yes |
The best PhD quantum computing programs offer quality instruction in advanced quantum computing topics, research work, and unique assistantship opportunities. Some institutions also offer the flexibility of online learning. Keep reading for an overview of the best quantum computing PhD programs, including admission requirements and funding opportunities.
California Institute of Technology , also known as Caltech, is a private institution known for its research in science and engineering. The university was founded in 1891 and offers a wide range of graduate options, including astrophysics, medical engineering, neurobiology, chemistry, applied mechanics, and computing and mathematical sciences.
Caltech is currently involved in several research initiatives where students can contribute through assistantships or coursework.
A PhD in Computing and Mathematical Sciences accommodates students with a background in applied math, economics, electrical engineering, physical sciences, and computer science. You will delve into a wide range of topics such as algorithms, machine learning, signal processing, statistics, data interpretation, and laws of quantum mechanics.
You will participate in quantum and information computation research , where you will learn from world-class faculty and contribute to ongoing research. Additionally, you will select a research advisor who will guide you through the ins and outs of your dissertation.
Capitol Technology University was founded in 1927 and is a premier institution for STEM programs. The graduate school is known for its programs in information technology, business, computer science, and engineering. Capital Tech offers twenty-nine graduate programs, which are all online.
The PhD in Quantum Computing prepares you for many careers. Upon graduation, you can work as a quantum computing director, senior quantum systems engineer, or director of financial quantum computing. The quantum computing industry is growing rapidly, and Capitol aims to equip PhD students with the vital skills that meet industry needs.
The curriculum features six-credit coursework that takes you from the foundational stages of a dissertation thesis to completion. Students can select between a thesis and publication option to meet graduation requirements. Capitol Tech PhD graduates demonstrate mastery in quantum computing, theoretical basis, and practical applications, as well as proficiency in research.
Founded in 1636, Harvard University is one of the best private Ivy League universities worldwide. The university is known for its commitment to research, high-quality education, and a strong academic community. Harvard's graduate school offers over 50 graduate programs and guarantees five years of funding for all PhD students.
You will complete this PhD under the Harvard Quantum Initiative , a program only available for PhD students. The degree prepares you for diverse research careers that require knowledge of quantum mechanics methods.
You will cover quantum simulation, sensing, and computation. PhD students begin research work in their first year through lab rotations and engage in extensive mentoring programs. Communication training is also a part of the program.
Massachusetts Institute of Technology is a private land-grant university founded in 1861. The university is known for its research contributions across various industries. It prioritizes education, research, and innovation. MIT's department of physics contributes to innovation by offering doctoral programs in statistics, data science, and physics.
At the MIT Physics Department, PhD students will learn probability theory, modeling with machine learning, natural language programming, statistical physics, and linear algebra. As an MIT PhD student, you will acquire essential research skills in probability, statistics, computation, and data analysis, and integrate these into your dissertation thesis. You can choose from a wide selection of research areas and specialize in quantum information science.
Purdue University is a public university founded in 1869 by the Indiana General Assembly. It was named after John Purdue, who contributed over $100,000 to the school’s establishment. Purdue has undergone many upgrades to become one of the leading research institutions worldwide.
Purdue upholds student-centered traditions and prides itself on a solid alumni network comprising former undergraduate and graduate students. Purdue’s graduate school offers over 160 programs. Graduate students have the opportunity to develop innovative projects in different areas, including business, technology, health care, and food consumption.
Purdue University’s Department of Physics and Astronomy maintains a commitment to producing highly-qualified scientists who thrive in the professional sector. Students will explore different courses and receive mentorship from over 50 faculty members, including members of the National Academy of Sciences.
The program offers many research areas, but you can specialize in quantum information science. This area of study allows you to conduct research in information theory, optical physics, and condensed matter systems. It also qualifies you as a member of the Purdue Quantum Science and Engineering Institute Research Group, where you will contribute to ongoing research at the university.
UC Berkeley is a renowned public research university located in sunny California. The university was founded in 1868 and is known for its high academic standards, unique undergraduate programs, and extensive academic offerings.
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Graduate students at UC Berkeley can select from over 100 graduate degrees and various exchange programs. As a student, you will participate in innovative research while interacting with a diverse student community.
The physics department at UC Berkeley has designed this PhD program to provide students with a holistic learning experience. Once you demonstrate your competence to pursue the program, you will begin extensive coursework in quantum mechanics.
The faculty mentors will advise you on the best quantum research programs before your preliminary exam. Once you pass the exam, you will start your research and submit progress reports until the last stage. Students complete the candidacy and defend their dissertation before a dignified thesis committee.
The University of Chicago is among the leading research universities worldwide. It was founded in 1890 and is known for its state-of-the-art resources, numerous affiliations to innovators and award winners, and an exciting graduate life. Graduate students have access to many doctoral programs in the professional schools, including the Pritzker School of Molecular Engineering.
The Pritzker School of Molecular Engineering offers this degree to successful PhD applicants. This degree lets you interact with industry experts in quantum science. You will learn about fundamental and applied quantum science, explore courses that shape your future within the quantum computing industry, and receive valuable thesis advice from outstanding advisors.
To graduate, you must complete nine core, specialized, and elective courses. Additionally, you will complete the teaching assistantship at the university after approval from the Vice Dean for Education and Outreach and the Dean of Students. You can also apply for work at several quantum research firms like the Chicago Quantum Exchange.
University of Maryland is a world-renowned public research university founded in 1856. The land-grant institution offers over 230 graduate programs and confers at least 2,800 degrees every year. UMD is known for its extensive research in various fields, including quantum computing, artificial intelligence and robotics, cybersecurity, and computational biology.
The program targets those looking to expand their knowledge in areas of computer science through research. You must understand computer science fundamentals and demonstrate your ability to engage in extensive research work. Selecting the quantum computing area of study allows you to delve into quantum mechanics for computational complexity, data transmission, information processing, and cryptographic security.
You will work with a world-class faculty to uncover innovations in quantum computers and how quantum computing principles apply to classical computers. The associated faculty currently investigates different topics, including programming languages, quantum algorithms, and hardware architectures. You can also apply for assistantships at the university’s new Quantum Startup Foundry.
If you are interested in pursuing your quantum computing doctoral abroad, you should apply to the University of Oxford. The University of Oxford is a leading academic institution known for contributing to research and its rigorous academic programs. The university prides itself on years of solid history as one of the oldest universities worldwide, dating back to 1096.
The university offers a wide range of degree programs, including over 300 graduate courses. PhD students also access many research resources, including dedicated research groups like Quantum Group .
Quantum computing research at the University of Oxford leans into the university’s rich history, combining prior computing milestones with current quantum computing principles. You will pursue a PhD in Computer Science, where you’ll pursue cutting-edge research as part of the Quantum Group, and specialize in quantum science.
The University of Waterloo began operations in 1957 and has transformed into a premier public research university. It is a large university, sitting on over 1,000 acres and with an undergraduate enrollment of 36,020 students. Students can select doctoral programs from a list of over 190 graduate programs, including actuarial science, civil engineering, computer science, and nanotechnology.
You will complete this doctoral degree at the Institute of Quantum Computing. Students who select the quantum information area of study explore topics such as quantum biology, nanoelectronics-based quantum information processing, optical quantum information, and quantum devices.
Upon graduation, you will have the expertise to lead and contribute to advanced quantum computing research projects.
Yes, you can get a PhD in Quantum Computing online. As technology continues to offer more flexibility, universities are adjusting their PhD learning formats, allowing students to complete these degrees at their pace and from desired locations. Below are the top five schools for an online PhD in Quantum Computing.
School | Program | Length |
---|---|---|
Bircham International University | PhD in Quantum Computing | 2 Years |
Capitol Technology University | PhD in Quantum Computing | 2-4 Years |
Harvard University | PhD in Quantum Science and Engineering | 5 Years |
University of Maryland | PhD in Computer Science | 4 years |
University of Waterloo | PhD in Computer Science (Quantum Information) | 4-5 Years |
It takes four to seven years to get a PhD in Quantum Computing. Students must complete advanced quantum computing coursework, pass a comprehensive exam, and submit original research work demonstrating quantum computing applications. The original research, also referred to as a dissertation, plays a significant role in determining how long your PhD takes.
Yes, a PhD in Quantum Computing is hard. You must develop in-depth knowledge of quantum computers and the process of designing, developing, and building fully-functional quantum machines. A PhD in Quantum Computing involves advanced coursework that includes quantum mechanics, physics, computational intelligence, and big data. These courses are very technical and challenging for any student.
You must also submit an extensive original dissertation, which involves a lot of research. Generally, the dissertation totals 70,000 to 100,000 words. You will spend months discovering new quantum computing theories, developing concepts, and defending everything you discover. In a nutshell, you must be ready and committed before pursuing a PhD in Quantum Computing.
It costs $8,000-$50,000 per year to get a PhD in Quantum Computing. According to a 2019 survey by the National Center for Education Statistics (NCES), PhD students in public institutions pay an average of $11,495 per year. Meanwhile, private institution tuition and fees average $23,138 per year.
It is important to note that these figures don’t represent the full cost of attendance, and you should also consider the cost of living, transportation, and supplies. You can always find the right estimate on the school’s website or through the admissions team.
The PhD funding options that students can use to pay for a PhD in Quantum Computing include federal grad student loans, scholarships and grants, fellowships, assistantships, and self-funding.
Funding for quantum computing grad students comes from different sources, including universities, charities, government bodies, and quantum computing research institutions. You can find reliable funding options by talking to your peers, building your portfolio, saving up, or pursuing funded PhD programs in Quantum Computing.
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The differences between a quantum computing master’s degree and PhD are the time frame, coursework, funding, and career opportunities. Generally, students complete a Master’s in Quantum Computing before pursuing a PhD, but it is not mandatory for all academic institutions. A PhD takes approximately four to seven years, whereas you can complete your master’s in two years.
The PhD curriculum is very advanced compared to the master’s degree . You must submit a dissertation of your original research work and complete a comprehensive exam before earning your PhD. A PhD in Quantum Computing is also more expensive, but you have access to more funding avenues, including fellowships and assistantships.
The job outlook for quantum computing professionals with a master’s degree is slightly higher than those with a PhD in the same field. For example, the Bureau of Labor Statistics estimates computer and information scientists have a 22 percent job growth rate. These include quantum computing researchers, engineers, and scientists.
On the other hand, BLS classifies senior quantum computing professionals under physicists and astronomers, representing an 8 percent job growth rate over the next ten years. The job outlook may differ because a Master’s in Quantum Computing prepares you for industrial-oriented jobs, whereas a PhD is more focused on research and academic careers.
The salary difference for quantum computing master’s and PhD holders is slightly different, with PhD graduates earning more. Although there are no specific salary outlooks for quantum computing, PayScale statistics highlight salaries for computing professionals.
Generally, a PhD in Computing makes you eligible for an average salary of $134,000 per year , while a Master’s in Computing will earn you an average of $111,000 per year . Remember, these are blanket figures for computing jobs, and the salary will differ depending on your job title, location, and employer.
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You should get a PhD in Quantum Computing because of the career opportunities, higher earning potential, and extensive knowledge and research opportunities this degree provides. In addition, quantum computing is a highly technical field, and pursuing a PhD allows you to explore uncharted areas of this rapidly growing field.
Getting a PhD in Quantum Computing involves completing extensive coursework that tackles every area of quantum computing. The standard quantum computing PhD coursework includes advanced courses, comprehensive exams, research work, assistantships, and a dissertation thesis. Below is a further analysis of the coursework, graduation requirements, and career outlook.
Quantum optics is an area of physics that focuses on applying quantum mechanics principles to occurrences involving light. You will learn about the nature of individual quanta of light, known as a proton, and its interaction with atoms and molecules. You will also explore the history of quantum optics, the first significant developments, and their applications to quantum computing.
Quantum information processing (QIP) is a core quantum computing course because it tackles an important part of the quantum computing system. This course will teach you how to process, analyze, and interpret quantum data using quantum information processing techniques. You will also explore quantum circuits, quantum control, quantum error-correction systems, quantum complexity theory, and quantum algorithms.
In this course, you will discover the obstacles to implementing a quantum computing device and how to overcome them. You will learn about minimizing control and manipulation to achieve gate operations and the significance of quantum processors in QIP. You will also discover how quantum processors perform calculations based on probability.
Quantum materials include topological insulators, magnets, superconductors, and multiferroics. You will learn how quantum materials affect current theory and contribute to quantum computing. Additionally, the course explores the tools and methods required to analyze, synthesize and manipulate these materials.
Quantum cryptography or quantum key contribution refers to the process of encrypting and protecting quantum information using quantum mechanics principles. You will learn to apply quantum cryptography to data transmission, avoiding leaks and hacking incidents.
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To get a PhD in Quantum Computing, you must fulfill the doctoral program requirements. The requirements include a dissertation thesis, exam results, course requirements, candidacy, assistantship requirements, residency, and research seminars.
The requirements are diverse and may vary depending on the academic institution. If you are wondering how to get a PhD in Quantum Computing, read the below list detailing five standard graduation requirements for quantum computing PhD students.
You must fulfill all the course requirements as per the university’s prerequisites. The coursework will include core courses, electives, and specialized courses. Students must complete all core courses and select a specific number of courses from the other categories. For example, Harvard University requires you to complete four core courses, add two specializations, and three elective courses.
You will complete qualifying or preliminary exams as part of the degree program. Students will complete a comprehensive exam that demonstrates their academic foundation and knowledge of quantum computing fundamentals. This exam will be administered in written or verbal form and indicates you are ready to begin your dissertation work.
Assistantships involve simultaneously working and learning within the academic institution. You can select a teaching, research, lab, or general graduate assistantship. Although assistantships are a mandatory PhD requirement, you will benefit from tuition waivers, cash compensation, and employee benefits like health insurance. You can confirm all the benefits for each program with the graduate studies department.
A PhD candidacy refers to the stage where you have completed all graduation prerequisites except the dissertation thesis. You will complete all the required courses and pass a qualifying exam before advancing into candidacy. Keep in mind that you must submit an application form to qualify for the candidacy.
All quantum computing PhD students must complete a detailed thesis of original research work in an area of quantum computing. You will explain your research sources, methods, references, and other relevant parts of a dissertation. Furthermore, you must defend your dissertation work in front of a thesis committee that will ask a variety of open-ended questions.
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Graduates with a PhD in Quantum Computing enjoy high salaries and access to many job industries. Generally, you will earn between $90,000 and $150,000 or higher depending on your employer. The job outlook is promising because it requires applicants with extensive knowledge in the field, while an increasing number of organizations are implementing quantum computers.
With a PhD in Quantum Computing, you can work as a senior quantum scientist, quantum senior software engineer, quantum optics researcher, and quantum computing research lead. Quantum computing PhD graduates have access to a wide range of career opportunities at senior levels.
You can also apply for jobs across different industries, including health care, academia, Blockchain and cryptocurrencies, supply chain management, cyber security, and finance. Many major companies like IBM Quantum, Microsoft Azure Quantum, Cambridge Quantum, and Amazon are developing quantum computing services.
According to PayScale data, a PhD in Computing makes you eligible for an average salary of $134,000 . This figure includes all computing professionals, but quantum computing professionals have even higher earning potential.
Quantum Computing PhD Jobs | Average Salary |
---|---|
Quantum Systems Manager | |
Quantum Physicist | |
Quantum Information Research Scientist | |
Quantum Computing Engineer | |
Quantum Computing Professor |
A Doctorate in Quantum Computing opens doors to jobs with lucrative salaries and amazing benefits. The best quantum computing jobs with a doctorate are primarily senior roles that come with a wide range of responsibilities. Below, you will explore a detailed overview of the highest-paying jobs for PhD graduates, including job outlook, and responsibilities.
Quantum system managers act as project managers in quantum computing organizations. You will plan, coordinate, and lead the team in implementing quantum computing activities to meet company needs. In addition, you will direct the maintenance of quantum computers, negotiate with vendors, propose new quantum technology, and report to the stakeholders.
Quantum physicists explore the physical laws that influence the behavior of atoms, electrons, and photons. You will design and perform experiments, develop and explain scientific theories, develop computer software, write scientific papers, and analyze physical data. This is a broad role that entails a wide selection of duties and requires knowledge of quantum algorithms, machine learning, quantum sensing, and quantum mechanics.
Quantum research scientists help quantum computing organizations to solve problems with research. You will apply quantum theory principles to enhance how quantum computers optimize problems and improve performance. You will also analyze performance results, develop computing languages, present research findings, and test software systems operations.
A quantum computing engineer applies quantum mechanics principles in designing and executing computing experiments. You will design and implement system improvements and collaborate with other engineers within the company to meet set goals. You must demonstrate expertise in electrical and electronic engineering, computer science, quantum physics, artificial intelligence, and programming languages.
Quantum computing professors teach quantum computing at the university level. You will teach undergraduate or graduate students, depending on your expertise and the experience you gain from the assistantship. Some of your duties will include developing a course outline, planning lessons and preparing assignments, advising students on the right courses, conducting research, and contributing to curriculum changes.
Yes, a PhD in Quantum Computing is worth it. A PhD is the highest level of education and gives you in-depth knowledge of quantum computing skills. It comes with a wide selection of benefits including higher earning potential, research opportunities, and senior career opportunities.
The future of quantum computing is promising as more organizations develop quantum computing cloud services and design quantum computers. You can expand your opportunities across different industries and leave your mark on the development of quantum computers.
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You can get a job in quantum computing by pursuing an accredited education path, improving your quantum computing skills, and gaining experience through internships and entry-level or mid-level jobs. You can also expand your portfolio by working on a wide variety of quantum computing projects. A PhD in the field will be the peak academic achievement on your CV.
No, you don’t need a PhD in quantum computing to pursue senior careers. The quantum computing industry accommodates master’s degree holders for senior roles. However, pursuing a PhD boosts your research capabilities.
Yes, quantum computing is the future. Many organizations are adapting quantum computing applications, and the industry is witnessing a rise in the number of quantum computing startups . The growth also indicates job security throughout the future for quantum computing professionals.
The programming languages you can use in quantum computing include QML, Quantum Lambda Calculus, QMASM, QCL, and Silq. You will learn how to use these languages to translate data into ideas that quantum computers can implement.
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The program in Quantum Science and Engineering provides graduate training in a new discipline at the intersection of quantum physics and information theory. Just as the 20th century witnessed a technological and scientific revolution ushered in by our newfound understanding of quantum mechanics, the 21st century now offers the promise of a new class of technologies and lines of inquiry that take full advantage of the more fragile and intricate consequences of quantum mechanics: coherent superposition, projective measurement, and entanglement. This field has broad implications, from many body physics, the creation of new forms of matter, and our understanding of the emergence of the classical world, to fundamentally new technological applications ranging from new types of computers that can solve currently intractable problems, communication channels whose security is guaranteed by the laws of physics, and sensors that offer unprecedented sensitivity and spatial resolution.
The Princeton Quantum Science and Engineering community is unique in its broad, interdisciplinary breadth combined with foundational research in quantum information and quantum matter. Research at Princeton comprises every layer of the quantum technology stack, in fields ranging from quantum many body physics, materials, devices, and devising new quantum hardware platforms to quantum information theory, quantum metrology, quantum algorithms and complexity theory, and quantum computer architecture. This vibrant environment allows for rapid progress at the frontiers of quantum science and technology, with cross pollination among quantum platforms and approaches. Our curriculum places students in an excellent position to build new quantum systems, discover new technological innovations, become leaders in the emergent quantum industry, and make deep, lasting contributions to quantum information science.
Applicants are required to select an area of research interest when applying.
Program offering: ph.d., program description.
The doctoral program combines coursework and participation in original research. Most students enter the program with an undergraduate degree in physics, electrical engineering, computer science, chemistry, materials science, or a related discipline. Every admitted Ph.D. student is given financial support in the form of a first-year fellowship. Students in academic good standing are supported by a teaching assistant or research assistant after the first year. Students who remain on campus working with their adviser during the summer will receive summer salary.
The curriculum consists of five required, graded courses to be completed by the end of the second year with an average GPA of 3.3, including: - Three core courses: Quantum Mechanics (PHY 506, ECE 511, CHM 501/502), Quantum Information (ECE 569), Implementations of Quantum Science (ECE 568) - Two quantum science courses: Experimental Methods in Quantum Computing (ECE 457), Solid State Physics (ECE 441), Condensed Matter Physics (PHY 525/526), Atomic Physics (PHY 551), Quantum optics (ECE 456), Fundamentals of Nanophotonics (ECE 560), Solid State Chemistry (CHM 529), Electronic Structure of Solids (CHM 524), Quantum Optoelectronics (ECE 453), Quantum Materials Spectroscopy (ECE 547), Solid State Physics II (ECE 542), Physics and Technology of Low-dimensional Electronic Structures (ECE544)
Each incoming student is assigned an academic adviser to help with course selection and other educational issues. First year students are required to enroll in a fall seminar class (ungraded) in which QSE faculty present their research. By the end of the first year, each student must secure placement with a research advisor.
First year students are also required to enroll in a seminar course for both semesters, in which they attend the weekly Quantum Colloquium series (which meets on Mondays), read relevant papers, and then discuss the papers and colloquium later in the week. Colloquium attendance will be mandatory and verified by a sign-in sheet. The course will be graded on a P/NP basis, and students will be evaluated based on their attendance and participation in discussion. The instructor running the course for the semester assigns a few papers that are relevant to that week’s colloquium, together with a reading guide that comprises a few questions about each paper. The students are responsible for reading the papers carefully, understanding them in the context of that week’s colloquium, and participating actively in the class discussion. Students must also complete a course in Responsible Conduct of Research by the end of their second year.
Students must successfully complete their general exam by the end of their second year. The general exam consists of a research seminar and an oral exam, with a committee of three faculty (including the research advisor). The seminar is typically a 45 minute presentation of research accomplished at Princeton, with questions from the committee about the research. The oral exam is administered by the committee, and is intended to probe the student’s engagement with independent research, as well as their general knowledge in the field.
The Master of Arts can be earned by Ph.D. students en route to their Ph.D., after the student has: (a) completed the required coursework, (b) presented a research seminar approved by the student’s general examination committee, and (c) passed the oral general examination. It may also be awarded to students who, for various reasons, leave the Ph.D. program, provided that these requirements have been met.
Teaching experience is considered to be a significant part of a graduate education. Prior to completion of the program, doctoral students must complete at least one semester as a half-assistant instructor (AI), 3 hours per week. To be an AI, a student must first demonstrate proficiency in English by passing or being exempted from the Princeton Oral Proficiency Test (POPT). Students are encouraged to satisfy the POPT requirement as early as possible.
The final public oral examination is taken after the candidate’s dissertation has been examined for technical mastery by a committee of three faculty including the research advisor and approved by the Graduate School; it is primarily a defense of the dissertation. The Ph.D. is awarded after the candidate’s doctoral dissertation has been accepted and the final public oral examination sustained.
Courses listed below are graduate-level courses that have been approved by the program’s faculty as well as the Curriculum Subcommittee of the Faculty Committee on the Graduate School as permanent course offerings. Permanent courses may be offered by the department or program on an ongoing basis, depending on curricular needs, scheduling requirements, and student interest. Not listed below are undergraduate courses and one-time-only graduate courses, which may be found for a specific term through the Registrar’s website. Also not listed are graduate-level independent reading and research courses, which may be approved by the Graduate School for individual students.
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Cdt-qte: space-time-varying superconducting surfaces for enhanced efficiency quantum computing and quantum wave processing applications, phd research project.
PhD Research Projects are advertised opportunities to examine a pre-defined topic or answer a stated research question. Some projects may also provide scope for you to propose your own ideas and approaches.
This project is in competition for funding with other projects. Usually the project which receives the best applicant will be successful. Unsuccessful projects may still go ahead as self-funded opportunities. Applications for the project are welcome from all suitably qualified candidates, but potential funding may be restricted to a limited set of nationalities. You should check the project and department details for more information.
Simulation-based quantum machine learning for advancing ai, self-funded phd students only.
This project does not have funding attached. You will need to have your own means of paying fees and living costs and / or seek separate funding from student finance, charities or trusts.
Cdt-qte: optimisation of antiresonant hollow core fibres for quantum computing, communications and memories, innovating iot security through quantum metamaterials and artificial intelligence, phds at the epsrc centre for doctoral training in quantum information science and technologies at the university of sussex, funded phd project (uk students only).
This research project has funding attached. It is only available to UK citizens or those who have been resident in the UK for a period of 3 years or more. Some projects, which are funded by charities or by the universities themselves may have more stringent restrictions.
Post-quantum cryptographic systems for securing communication in iot systems., cdt-qte: interfacing semiconductor quantum dots with alkali-atom-based quantum memories, investigating quantum machine learning for cyber security, chip-based photonic devices for quantum technology, cdt-qte: efficient end-to-end quantum machine learning strategies for imaging, cdt-qte: optical micro-resonator design for enhanced quantum processing, cdt-qte: integrated solid-state quantum memories for light.
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The University of Waterloo, in collaboration with the Institute for Quantum Computing (IQC), offers graduate students unique opportunities to learn about and engage in world-leading research in quantum information through a wide range of advanced research projects and advanced courses on the foundations, applications and implementation of quantum information processing.
IQC has a critical mass of expertise in several major research areas within quantum information, including but not limited to:
Courses available.
Degrees available and requirements, how to apply.
IQC offers one of the broadest and deepest number of Quantum Information and Computation (QIC) courses. The courses available are listed below and their full course descriptions are available in the graduate calendar.
Our alumni have found diverse careers working in academia, multinational companies, governments and start-ups. IQC alumni have landed all over the globe. Expore what some IQC alumni are doing now and review a sample of where they are working.
In particular, we offer a new interdisciplinary graduate program in Quantum Information that leads to MMath, MSc, MASc, and PhD degrees. The program is offered in collaboration with:
Students are required to complete the requirements of both their home unit and the specific requirements of the Quantum Information (QI) program to achieve the special QI designation. For example, MMath in Computer Science (Quantum Information), PhD in Chemistry (Quantum Information), MASc in Electrical and Computer Engineering (Quantum Information).
MMath, MSc, and MASc students will receive a strong and broad foundation in quantum information science, coupled with knowledge and expertise from their home program. This will prepare them for the workforce or further graduate studies and research leading towards a PhD.
PhD students will be prepared for careers as scholars and researchers, with advanced expertise in quantum information science, along with the focus of their home program. The new program is designed to provide knowledge of quantum information, including theory and implementations, their home program discipline, and also developed advanced expertise in their particular research area within quantum information.
For tips and advice on how to apply and next steps please, connect with Waterloo's Graduate Studies and Postdoctoral Affairs office.
Harvard launches phd in quantum science and engineering.
Harvard University announced today one of the world’s first PhD programs in Quantum Science and Engineering, a new intellectual discipline at the nexus of physics, chemistry, computer science and electrical engineering with the promise to profoundly transform the way we acquire, process and communicate information and interact with the world around us.
With the launch of the PhD program, Harvard is making the next needed commitment to provide the foundational education for the next generation of innovators and leaders who will push the boundaries of knowledge and transform quantum science and engineering into useful systems, devices and applications.
"The new PhD program is designed to equip students with the appropriate experimental and theoretical education that reflects the nuanced intellectual approaches brought by both the sciences and engineering," said faculty co-director Evelyn Hu, Tarr-Coyne Professor of Applied Physics and of Electrical at the Harvard John A. Paulson School of Engineering and Applied Sciences (SEAS). "The core curriculum dramatically reduces the time to basic quantum proficiency for a community of students who will be the future innovators, researchers and educators in quantum science and engineering."
"Quantum science and engineering is not just a hybrid of subjects from different disciplines, but an important new area of study in its own right,” said faculty co-director John Doyle, Henry B. Silsbee Professor of Physics.“A Ph.D. program is necessary and foundational to the development of this new discipline."
The new program lies at the interface of physics, chemistry, and engineering, providing students with exciting opportunities to explore the fundamentals, realizations, and applications of QSE. Students of diverse backgrounds will benefit from an integrated curriculum designed to dramatically reduce the time to basic quantum proficiency and to equip students with experimental and theoretical education that reflects the nuanced intellectual approaches brought by both the sciences and engineering. Students will have the opportunity to work with state-of-the-art experimental and computational facilities. Integrating a new approach to interdisciplinary scholarship, graduates of the program will be prepared for careers in academia, industry, and national laboratories.
Research is a primary focus of the program, with students beginning research rotations in their first year. Extensive mentoring and advising is embedded in the program: graduate students in QSE are part of an academic community that cuts across departments and schools and, as such, are strongly encouraged to pursue cross-disciplinary research. In addition to their research, QSE PhD students will receive training in communication and professional opportunities, such as industry internships.
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Quantum computing.
Stanford School of Engineering
This course introduces the basics of quantum computing.
Topics Include:
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Quantum computing is no longer a purely theoretical notion. The NSA and NIST are preparing to transition to quantum resistant cryptography. We have now entered the intermediate-scale quantum era, with near-term applications such as quantum machine learning being explored. Scalable quantum computers aren’t here yet, but ongoing developments suggest they are on their way. This course provides an introduction to quantum computation for computer scientists: the focus is on algorithms rather than physical devices, and familiarity with quantum mechanics (or any physics at all) is not a prerequisite. Instead, pertinent aspects of the quantum mechanics formalism are developed as needed in class. The course begins with an introduction to the QM formalism. It then develops the abstract model of a quantum computer, and discusses how quantum algorithms enable us to achieve, for some problems, a significant speedup (in some cases an exponential speedup) over any known classical algorithm. This discussion provides the basis for a detailed examination of quantum integer factoring, quantum search, and other quantum algorithms. The course also explores quantum error correction, quantum teleportation, and quantum cryptography. It concludes with a glimpse at what the cryptographic landscape will look like in a world with quantum computers. Required work includes problem sets and a research project. Prerequisites: Some familiarity with linear algebra and with the design and analysis of algorithms or instructor permission.
The URI quantum computing program is a 4-course, 12-credit, asynchronous, fully online graduate certificate program designed for career advancement. You can complete the program in just over two semesters and immediately leverage your enhanced skill set.
This online certificate program complements our M.S. degree in Quantum Computing program , which is designed for those who will be pursuing a more rigorous training.
The certificate programs courses are designed to:
Through the courses, students will be developing ever more complex programs using IBM’s online Qiskit, an open-source software development kit, culminating in a project in the 4 th semester.
PHY 571 Math Methods for Quantum Computing (3 credits) Reviews the mathematics that underpins quantum mechanics. This course will serve as a refresher in linear algebra and introduces the Python computing language.
PHY 572 Quantum Foundations (3 credits) Serves as an introduction to the foundations of quantum mechanics. The distinctions between classical and quantum worlds will be described and applications to quantum computing will be introduced. Special attention will be paid to entanglement and superposition. The representation of qubits as vectors terminating on the surface of a Bloch sphere will show how qubits can be transformed by reversible transformations.
PHY 573 (online) Introduction to Quantum Computing (3 credits) Introduces the fundamentals of quantum computing and how it differs from classical computing, including how data is stored, processed, and measured. Basic quantum algorithms will be studied with the use of IBM’s Qiskit, and the importance of the quantum Fourier transform will be explored.
PHY574 (online) Advanced Quantum Computing (3 credits) Presents applications of quantum theory to quantum computing and technology including software and hardware. Error connection techniques will be introduced. Quantum applications to molecular modeling, communications, and optimizations will be investigated. The essential components of a quantum computer will be presented and the implementation of qubits using various technologies will be described.
Professor leonard m. kahn chair, uri department of physics.
Quantum computing, while still in its infancy, is rapidly developing and spurring a revolution in the way complex problems can be solved. The economic and societal benefits will be substantial.
A student completing our certificate program will have both a foundational understanding as well as the practical knowledge to apply and design quantum algorithms. In addition, with the embedded project that is threaded through the courses, the student will have a fundamental understanding of more general aspects of quantum sensing, teleportation, cryptography, circuitry and communication. Come join us!
A URI graduate certificate in Quantum Computing will position you for jobs such as application scientist, quantum computing theorist, quantum computing experimentalist or researcher.
URI Online Student Support Center [email protected] 401.874.5280
Program Director Professor Leonard M. Kahn Chair, URI Department of Physics
Academic discussion of all things quantum computing from hardware through algorithms. Not the place for business speculation, memes, or philosophy.
I have a BA and MS in Computer Science and have worked in the software industry for the past few years. While I've learned a lot and have been paid well, I have lost a lot of my passion for the career path. I still enjoy programming at its core with personal projects, but the corporate world has siphoned any passion out of it in my day job. This made me consider going back to school.
I've always enjoyed academia and even taught a class post-Masters graduation. I enjoy teaching and like the "pure" concept of academic research. I've done some cursory study of quantum computing for a bit and it seems like it's a new frontier of CS, Physics, Engineering, Mathematics, etc... Which is why I'm interested in the topic.
However, when I've searched for schools, it doesn't seem like a ton of them offer this field of study and those that do are usually under physics departments or even electrical engineering. My question is if it's possible for a CS background to get into a quantum computing program, or would I have to get a physics degree first?
I'm in contact with one of my old professors about this, and I'm getting guidance from him, but I'd love to hear any advice you all may have. Thanks in advance!
EDIT: I am located in Southern California and ideally would like to stay in this area. However, I am open to hearing about schools in other locations.
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Irene Fernández de Fuentes (centre) co-founded the Australian charity Quantum Women. Credit: Sydney Quantum Academy
Feeling adrift and disconnected during the COVID-19 pandemic, Elisa Torres Durney decided to jump headlong into one of the hottest, and most challenging, disciplines around. She took a virtual course on quantum computing.
Then a secondary-school student in Chile, Torres Durney knew little about the field, but coming from a family of engineers and artists, she felt drawn to the opportunities that quantum computing offered to combine practicality and creativity. Over eight months, she learnt the basics from experts in academia and industry, in a course run by the non-profit organization, Qubit by Qubit. She also started writing code to simulate quantum circuits, and later ran her own experiments on a quantum computer.
‘Quantum internet’ demonstration in cities is most advanced yet
The experience was “transformative”, says Torres Durney, who will soon start an engineering undergraduate degree at Duke University in Durham, North Carolina. But she realized that it was also a privilege, one that few students could access. So, in 2022, Torres Durney co-founded Girls in Quantum to further democratize quantum computing around the world. “So many people think that quantum is just for experts with a PhD, but I started at 16 years old, and I’m still here,” she says.
Girls in Quantum is one of a handful of initiatives aimed at increasing representation in quantum computing, which is one of the fastest-growing disciplines in science, technology, engineering and mathematics (STEM). By targeting every step of the career path, these groups aim to broaden tomorrow’s workforce, introducing the field to a younger, more diverse audience, imparting technological know-how and professional skills and ushering a new generation into positions of leadership. The hope is to avoid the diversity challenges that plague physics more broadly — the field has some of the lowest representation of women and people of other marginalized identities in STEM ( T. Berry and S. Mordijck Commun. Phys. 7 , 77; 2024 ).
Elisa Torres Durney made her first foray into quantum computing as a secondary-school student in Chile. Credit: Tell Magazine/Javiera Díaz e Valdés
“What I find really exciting about emerging technologies like quantum computing is we have the chance to get things right early on,” says Kiera Peltz, founder and chief executive of Qubit by Qubit, who is based in the Bay Area of California. Since its launch in 2020, the organization has introduced some 22,000 students worldwide to quantum computing, says Peltz, and more than half come from under-represented backgrounds. “Quantum computing will most certainly impact society, and I think that makes it even more critical to have diverse voices and experiences shaping these technologies.”
Quantum computing draws on the foundational principles of quantum mechanics, a branch of physics that describes the behaviour of atomic and subatomic particles. Scientists have leveraged these properties to build computers powered by basic units of information called qubits that can occupy two states concurrently — a phenomenon known as superposition. These computers have different strengths compared with conventional devices that use a binary system of ones and zeros, such as the ability to evaluate a vast number of possibilities simultaneously, and researchers are optimistic about the opportunity this affords to tackle previously intractable problems in drug development, climate science, cybersecurity and other applications.
The future is quantum: universities look to train engineers for an emerging industry
Excitement over these tools — which remain, for the moment, rudimentary — is driving renewed interest in careers in physics. US jobs in the field are expected to grow by 5% by 2032, yet only one in 54 applicants for quantum roles are women, and 80% of quantum companies do not have a woman in a senior leadership role.
Fewer data exist on other marginalized identities, but a survey published this year of some 2,500 physics students and professionals in Canada, for example, revealed that only 1.5% of respondents identified as Black or Indigenous, 3.5% as gender diverse and 7% as having a disability ( E. J. Hennessey et al . Preprint at arXiv https://doi.org/m9qk; 2024 ).
“There’s still very much a glass ceiling for diversity,” says Denise Ruffner, an independent consultant based in Pasadena, California, who advises quantum companies on diversity practices. “I’m glad that we started early to try to break through, but it’s something that’s still there and needs to be acknowledged.”
The technology behind quantum computers can be daunting, and groups invested in engaging younger audiences must contend with a steep learning curve. Quantum mechanics doesn’t relate in clear ways to daily life, so educators must get creative when teaching foundational principles .
For Chris Cantwell, the founder of Quantum Realm Games, this has meant engaging with quantum concepts through play. Cantwell, who is based in Chino Hills, California, spent years developing a version of quantum chess to join the ranks of existing games such as quantum noughts-and-crosses and a quantum version of the popular world-building computer game, Minecraft .
Chris Cantwell plays quantum chess with his son. Credit: Christopher and Laurie Cantwell
In Cantwell’s quantum chess, pieces can occupy two positions on the board — signifying superposition — and others can become ‘entangled’, another quantum concept, to move together in predictable ways. He has begun playing it with his five-year-old son, and says the goal is not to teach quantum theory but to create a space in which people can experience quantum phenomena for themselves. “We have to start young, and we have to start diverse, to develop a generation with an intuitive understanding of things,” Cantwell says. “They’ll imagine uses for quantum computing that we can’t even conceive of right now.”
Quantum computers: what are they good for?
Among more-conventional learning opportunities, Qubit by Qubit offers virtual courses to secondary-school students and undergraduates globally, with minimal academic prerequisites. Many courses are days long, but others span up to two semesters and include hands-on laboratory work in partnership with academic scientists and industry leaders. Students who complete these courses can then apply for summer internships that pair them with researchers pursuing quantum computing projects.
“The biggest point of attrition” in physics, according to Shohini Ghose, a physicist at Wilfrid Laurier University in Waterloo, Canada, “is in the period right after high school, when people are picking a potential career”. Ghose, who is also a regional chair for women in science and engineering at Canada’s Natural Sciences and Engineering Research Council, the country’s federal funding agency, says that keeping students “invested through this critical juncture is a good step”.
Offering quantum-computing courses virtually or, in some cases, at a discount does make them more accessible, but cost and the fact that they are taught in English remain a barrier to broader participation. Qubit by Qubit makes as many of its programmes as possible free — including a one-week virtual ‘boot camp’ for students at historically Black colleges and universities and other minority-serving institutions in the United States — and offers scholarships.
Students do a basic superposition experiment at a summer camp run by Qubit by Qubit. Credit: Trent Peltz of The Coding School
Girls in Quantum’s programmes are free, including a nine-week virtual course. The group is also one of the few actively working to translate resources into other languages; its network of global ambassadors has created guides in Spanish, Russian and Tamil. And last year, in partnership with IBM, Girls in Quantum organized a quantum hackathon in Latin America.
Still other groups are tackling cultural and social barriers that could otherwise drive people out of the field.
“I think it’s better to have a workforce that’s 20% minorities, but they’re happy, versus one that’s 50% minorities, but they’re miserable,” says Tzula Propp, a quantum information theorist at Delft University of Technology in the Netherlands and co-founder, with Ruffner, of the non-profit body Diversity in Quantum (DiviQ). “Quantum is a pressure-cooker environment, and the people who get cooked out quickest are marginalized people with intersecting struggles.”
The Australian charity Quantum Women, founded in 2021, focuses on teaching ‘soft skills’ to make women more-effective communicators and competitors in the jobs market. “What we really want is to try to get women into positions of leadership,” says Irene Fernández de Fuentes, a co-founder of Quantum Women and an experimental quantum physicist at the research institute QuTech, based in Delft, the Netherlands. “There are many fields that have proven that a more diverse team can only bring good.”
Quantum is a pressure-cooker environment, says Tzula Propp, co-founder of Diversity in Quantum. Credit: Quantum Delta NL/Rebekka Mell
Besides highlighting the work of its members, Quantum Women offers virtual and in-person workshops on public speaking, grant writing, building a CV and other topics in professional development. It’s also hosting ‘matchmaking’ sessions involving early-career professionals and industry partners. De Fuentes says that the first job offers for attendees have started to trickle in, “which feels great”.
NatureTech hub
DiviQ is currently building special-interest groups — including ones for women, queer scientists, people of colour and people with disabilities — to allow people to tap into networks of supportive peers. In June, the organization held its first Proud to be in Quantum summit for Pride month, and Propp is now piloting a mentorship programme for DiviQ members. Rather than one-on-one pairings, mentors will have two peers at similar career stages to meet with monthly, as well as a senior mentor “to call in a pinch”, Propp says.
And more mentors are needed. Ruffner says that when she gives talks, she often asks whether anyone is mentoring a woman or member of an under-represented group. “There usually aren’t a lot of hands up in the air,” she says.
“Don’t just talk about diversity or read about it,” Ruffner concludes. “Take action and find someone that you can mentor, and make a difference in someone’s life.”
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Quantum computers have proven to be effective in simulating many quantum systems. Simulating nuclear processes and state preparation poses significant challenges, even for traditional supercomputers. This study demonstrates the feasibility of a complete simulation of a nuclear transition, including the preparation of both ground and first excited states. To tackle the complexity of strong interactions between two and three nucleons, the states are modeled on the tritium nucleus. Both the initial and final states are represented using quantum circuits with variational quantum algorithms and inductive biases. Describing the spin-isospin states requires four qubits, and a parameterized quantum circuit that exploits a total of 16 parameters is initialized. The estimated energy has a relative error of approximately 2 % percent 2 2\% 2 % for the ground state and about 10 % percent 10 10\% 10 % for the first excited state of the system. The quantum computer simulation estimates the transition probability between the two states as a function of the dipole polarization angle. This work marks a first step towards leveraging digital quantum computers to simulate nuclear physics.
Quantum simulation is an emerging field that aims at studying quantum systems with quantum hardware to reach a level of accuracy unattainable with classical computers. Quantum computers [ 1 , 2 , 3 , 4 , 5 , 6 , 7 ] are proving increasingly effective to provide such hardware [ 8 ] . One of the most developed areas where quantum simulation proves effective involves few-body and many-body search of ground states and dynamics. Molecular quantum dynamics provides a paramount example in this respect [ 9 ] . Simulation and discovery of materials is a rapidly evolving field that can exploit near-term quantum hardware [ 10 ] . Recently, quantum algorithms have also been applied to nuclear physics in order to determine nuclear structures and simulate elementary processes [ 11 , 12 , 13 , 14 ] . Some of us have already exploited variational and iterative quantum algorithms [ 15 , 16 , 17 ] and the search of ground states [ 18 ] by different approaches based on adiabatic quantum computing [ 19 , 20 , 21 ] . Variational Quantum Eigensolvers (VQE) [ 22 ] made it possible to build states of light nuclei using suitably tuned quantum circuits [ 23 , 24 , 25 ] , with the aim of computing ground state energies. On the other hand, quantum algorithms enable to compute transition probabilities between states encoded by such quantum circuits. Explicitly, the computation is carried by another circuit consisting in turn of a unitary operator. The observable responsible of such transition is not necessarily unitary, even if it can be expressed as the sum of unitary terms like Pauli operators that are not closed under addition. Therefore, one needs to embed it into a unitary operator by some method so to be processed by the quantum computer. Quantum algorithms such as the linear combination of unitaries (LCU) can solve the issue of restoring unitarity [ 26 , 12 , 13 , 14 ] and permit the implementation of the circuit. Transition probabilities are fundamental also for understanding phenomena involving atomic nuclei. For example dipole polarizabilities are intimately linked to nuclear radii and the properties of nucleonic matter, eventually affecting the merging of compact astrophysical objects [ 27 , 28 ] . More recently, it has been pointed out how a detailed description of the strong many-body correlations in nuclei is necessary to explain electroweak processes such has β 𝛽 \beta italic_β decay [ 29 ] or the neutrinoless β β 𝛽 𝛽 \beta\beta italic_β italic_β decay that is employed for searching physics beyond the standard model [ 30 ] . In spite of important advances in modelling the interaction of neutrinos with nuclei [ 12 , 14 ] , there is currently no implementation on a quantum computer of the whole pipeline of a nuclear transition process: that is, involving the preparation of both the initial and final nuclear states as well as the transition mechanism. Here, we consider a simplified model of the nucleus of tritium in which the proton and the two neutrons are fixed in space, so to demonstrate the full quantum computing pipeline for simulating a nuclear reaction. We employ a pionless effective field theory ( π / \pi\!\!\!/ italic_π / EFT) [ 31 ] Hamiltonian that provides a controllable low-momentum expansion of the nuclear force, consistent with the symmetries of quantum chromodynamcis (QCD). The spatial localization preserves the complex spin-isospin structure of the strong nuclear force while reducing the necessary qubits to a number suitable for a proof-of-principle investigation. At the same time, discrete excited states are produced–even if they are experimentally absent for three-nucleon systems–that we use to simulate a M1 transition to the ground state. We demonstrate that a quantum computer is capable of simulating an entire nuclear problem by addressing all the building blocks involved in the pipeline. We apply a VQE algorithm that allows to determine the ground state by minimizing the energy function. Next, we build an excited state from a similar minimization problem by involving an additional cost function that accounts for the orthogonality between eigenstates. The linear combination of unitaries method is used to perform the simulation and evaluate the transition probability as a function of the tilt angle. We conclude that quantum algorithms are sufficiently mature to perform simulations in nuclear physics.
The system under consideration is inspired by the tritium nucleus (triton) and the process involves the transition between two eigenstates. To demonstrate the method, we arbitrarily choose the ground state and the first excited state of such a three-nuclei system. In Figure 1 it is sketched the rationale of the approach. The upper part represents aspects of the ingredients of the nuclear physics process, consisting of the excitation (or equivalently, its de-excitation) between two eigenstates, while the lower part represents the corresponding computational strategy of the quantum computer. The state preparation of qubits encodes the relevant information of the nuclear states under consideration. Next, it is simulated the action of the interaction responsible for the transition between such quantum states, evaluating the transition probability. In the following, we introduce the nuclear model of the ground state of the triton and, afterwards, the preparation of a quantum register encoding the three-nuclei eigenstates. Next, in the Section Results, we exploit such formalization to perform the quantum simulation and obtain the transition probability with a gate-model quantum computer.
To establish the feasibility of simulating nuclear physics processes on a quantum computer, we use the π / \pi\!\!\!/ italic_π / EFT [ 31 ] on a lattice [ 32 ] which is suitable for demonstrating the generality of the approach [ 14 ] . Each nucleon has a spin-isospin state. By using second quantization formalism, we are able to encode the possible states accounting for the whole nucleus with only four qubits. One nucleon is fixed in the spin-down neutron state, hence we need two qubits for each remaining nucleon. The Hamiltonian of the tritium nucleus is expressed by
(1) |
In the following, we use the numerical values of t = 1 𝑡 1 t=1 italic_t = 1 , U = − 7 𝑈 7 U=-7 italic_U = - 7 , and V = 28 𝑉 28 V=28 italic_V = 28 that reproduce the actual π / \pi\!\!\!/ italic_π / EFT nuclear force for the three nucleons placed at neighboring sites [ 14 ] . The objective is to find the ground state, hence we need to minimize the expectation value of such a Hamiltonian. In order to test the minimum set of ingredients, we consider excitations to higher eigenstates of the tritium model. More specifically, we focus on the first excited state of the model. This is done by solving a differently constrained problem which takes into account the orthogonality with the ground state previously found. In the next Section, we are going to define such minimization problems in more detail.
The variational quantum eigensolver (VQE) is a hybrid variational algorithm consisting of a quantum eigensolver and a classical optimizer. We consider a parameterized ansatz state | ψ ( 𝜽 ) ⟩ ket 𝜓 𝜽 \ket{\psi(\bm{\theta})} | start_ARG italic_ψ ( bold_italic_θ ) end_ARG ⟩ sufficiently complex to reproduce the fundamental properties of the system to be simulated. Here 𝜽 𝜽 \bm{\theta} bold_italic_θ is a vector of real parameters. The optimal parameters can be found by solving the related variational problem. The ground state is, by definition, the state of minimum energy, hence the minimization problem
(2) |
allows us to find the best estimate for the ground state. In addition, by imposing orthogonality with such a ground state, the new minimum energy eigenstate becomes the first excited state. The first method involves adding a penalty function (known as deflation term) to Equation 2 , while the second one delegates such a constraint to the optimizer. The former is known as variational quantum deflation (VQD) [ 33 ] , while the latter is the variational quantum eigensolver under automatically-adjusted constraints (VQE/AC) [ 34 ] . The minimization problem solved by the VQD can be expressed as
(3) |
where | g ⟩ ket 𝑔 \ket{g} | start_ARG italic_g end_ARG ⟩ is the ground state and λ 𝜆 \lambda italic_λ is a tunable hyper-parameter. If the ansatz is efficiently expressive, it is sufficient to use λ > Δ E 𝜆 Δ 𝐸 \lambda>\Delta E italic_λ > roman_Δ italic_E , where Δ E Δ 𝐸 \Delta E roman_Δ italic_E is the energy gap Δ E = E 1 − E 0 Δ 𝐸 subscript 𝐸 1 subscript 𝐸 0 \Delta E=E_{1}-E_{0} roman_Δ italic_E = italic_E start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT - italic_E start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT between the first two energy levels. However, the choice of λ 𝜆 \lambda italic_λ is self-correcting, as choosing an incorrect λ = γ − E 0 ≤ Δ E 𝜆 𝛾 subscript 𝐸 0 Δ 𝐸 \lambda=\gamma-E_{0}\leq\Delta E italic_λ = italic_γ - italic_E start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ≤ roman_Δ italic_E will cause the algorithm to find a minimum L E ( 𝜽 ) = γ subscript 𝐿 𝐸 𝜽 𝛾 L_{E}(\bm{\theta})=\gamma italic_L start_POSTSUBSCRIPT italic_E end_POSTSUBSCRIPT ( bold_italic_θ ) = italic_γ [ 33 ] . Such a behaviour is reported in Figure 2 , where λ = 4 𝜆 4 \lambda=4 italic_λ = 4 appears to be a good choice. On the contrary, the VQE/AC method does not require such calibration since it handles the constraint of orthogonality on the optimizer directly. Hence the minimization problem is again the one shown in Equation 2 . Typically, an ansatz is formed by repeating blocks, each one made of two layers, namely one with local rotations and the other with entangling gates. In our work, the rotation layers consist of single-qubit y 𝑦 y italic_y -rotations acting on each qubit and the entangling layer accounts for circular entanglement, significantly extending previous attempts involving only one rotation angle per layer, with only two blocks. As discussed later, by doubling the number of blocks and by adding more parameters, a more accurate ground state energy is found. Furthermore, a deeper ansatz allows us to use the same circuit for both the ground state and the first excited state while keeping the number of trainable parameters as low as possible. The choice of the number of blocks is arbitrary, so the best compromise between accuracy and depth, involving more computation, is found. The best compromise consists of using four blocks, as it is the least amount that significantly improves the results (see Supplementary Figure S1). The single block definition and the final ansatz are shown in Figure 3 .
Now, we turn the attention to the quantum operator that triggers the transition between the ground state and the excited state. For clarity, we call it the excitation operator, but the reader should notice that since it is real-valued, hence symmetric, the inverse process is also described by the same operator. In order to implement the action of such operator onto the quantum register, we exploit the linear combination of unitaries method, that allows to implement any operator that can be expressed as a sum of unitaries.
Following Ref. [ 13 ] , the most general excitation operator in first quantization is
(4) |
where α 𝛼 \alpha italic_α , β 𝛽 \beta italic_β and γ 𝛾 \gamma italic_γ are real coefficients. In second quantization, it can be expressed as
(5) |
If we represent the creation/annihilation operators in terms of Pauli operator using the Jordan-Wigner transformation, the excitation operator becomes
(6) |
Restricted to the relevant subspace, O ~ ~ 𝑂 \widetilde{O} over~ start_ARG italic_O end_ARG is equivalent to
(7) |
Such operator consist of a sum of Pauli, hence unitary operators, but O ¯ ¯ 𝑂 \overline{O} over¯ start_ARG italic_O end_ARG itself is not necessarily unitary.
The algorithm that implements such an operator is expressed by a quantum circuit as follows. The evolution generated by the operator O ¯ ¯ 𝑂 \overline{O} over¯ start_ARG italic_O end_ARG can be simulated in a non-deterministic way using the linear combination of unitaries (LCU) method [ 26 ] . The only requirement is that it can be expressed as a (finite) sum of unitaries:
(8) |
The coefficients μ j subscript 𝜇 𝑗 \mu_{j} italic_μ start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT s are assumed to be positive without loss of generality since a phase can be subsumed into the respective unitary operators U j subscript 𝑈 𝑗 U_{j} italic_U start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT . It is useful for later purposes to define the 1-norm of the coefficient vector
(9) |
For example, for the excitation operator above, we have
(10) |
The algorithm requires the implementation of a prepare unitary and a select unitary. The former is defined as [ 26 , 13 ]
(11) |
whereas the latter
(12) |
The required prepare unitary is shown in Figure 4 (a), with a rotation R y ( 2 ϕ 1 ) subscript 𝑅 𝑦 2 subscript italic-ϕ 1 R_{y}(2\phi_{1}) italic_R start_POSTSUBSCRIPT italic_y end_POSTSUBSCRIPT ( 2 italic_ϕ start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT ) , where
(13) |
acting on the first qubit. Contrary to the deuteron case [ 13 ] , the second gate applied is a zero-controlled rotation R y ( 2 ϕ 2 ) subscript 𝑅 𝑦 2 subscript italic-ϕ 2 R_{y}(2\phi_{2}) italic_R start_POSTSUBSCRIPT italic_y end_POSTSUBSCRIPT ( 2 italic_ϕ start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT ) , where
(14) |
As a matter of fact, the excitation operator for the deuterium nucleus has a simpler form of Equation 4 . Despite having three distinct coefficients, it holds that
(15) |
Iii.1 determination of the initial and final quantum states with vqe.
The optimizer is the constrained optimization by linear approximation (COBYLA) [ 35 ] , with a maximum of 1500 iterations. The circuits are implemented by Qiskit [ 36 ] through the QASM simulator within the Qiskit Aer framework. The ansatz circuit requires four qubits as from Figure 3 (b). The ground state is determined by the VQE algorithm after 400 iterations. Instead, the excited states is determined after 300 iterations with VQE/AC and after 450 iterations with VQD, respectively, without achieving the same accuracy. Figure 5 illustrates the performance of COBYLA over 1500 1500 1500 1500 iterations. Each colored line represents a different algorithm, superimposed on the energy spectrum calculated analytically (grey lines), with the black line indicating the ground energy level. The optimal parameters are listed in Table 1 . By assigning such values, we evaluate the expectation value of the Hamiltonian in Equation 1 . To understand how the error in the optimal-parameters estimation propagates to the energy estimation, we adopt a Monte Carlo method, as follows. We sample a normal distribution centered on the optimal value with precision up to the third decimal place, with a standard deviation of σ = 0.001 𝜎 0.001 \sigma=0.001 italic_σ = 0.001 . For each sample we then evaluate the energy expectation value. This allows us to retrieve the energy distribution for each variational algorithm used, providing insight into the propagation of error from optimal parameters to energy estimation. The resulting violin plots are reported in Figure 6 . The optimal parameters are associated with a relative error in the energy value of ϵ 0 VQE = 1 % superscript subscript italic-ϵ 0 VQE percent 1 \epsilon_{0}^{\text{VQE}}=1\% italic_ϵ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT start_POSTSUPERSCRIPT VQE end_POSTSUPERSCRIPT = 1 % for the ground state, ϵ 1 VQD = 9 % superscript subscript italic-ϵ 1 VQD percent 9 \epsilon_{1}^{\text{VQD}}=9\% italic_ϵ start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT start_POSTSUPERSCRIPT VQD end_POSTSUPERSCRIPT = 9 % and ϵ 1 VQE/AC = 8 % superscript subscript italic-ϵ 1 VQE/AC percent 8 \epsilon_{1}^{\text{VQE/AC}}=8\% italic_ϵ start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT start_POSTSUPERSCRIPT VQE/AC end_POSTSUPERSCRIPT = 8 % for the first excited state.
Iv conclusions.
We processed the simulation of a nuclear transition involving totally antisymmetrized spin-isospin states of triton, formulated in terms of second quantization. The state of the nucleons is encoded by two qubits each on a gate model quantum computer. We determined the ground state of the approximated triton Hamiltonian by exploiting the variational quantum eigensolver (VQE), which returned the energy expectation value with a relative error of 1 % percent 1 1\% 1 % . In order to obtain the first excited state, two variations of the VQE have been deployed and compared, namely the Variational Quantum Deflation (VQD) [ 33 ] and the VQE with automatically-adjusted constraints (VQE/AC) [ 34 ] , respectively. The two quantum states thus found have an overlap of 98 % percent 98 98\% 98 % with each other, suggesting the equal validity of the two methods. The relative errors on the corresponding eigenvalue are 9 % percent 9 9\% 9 % for the VQD and 8 % percent 8 8\% 8 % for the VQE/AC algorithm. Finally, we simulated the transitions from the VQE/AC approximated excited state into the ground state with the LCU method. The simulation of the transition shows a success probability in the range [ 0.3 , 0.9 ] 0.3 0.9 [0.3,0.9] [ 0.3 , 0.9 ] . This work provides a first step into a fully embedded quantum simulation, from state preparation to transition probability. Spatial resolution could also be embedded in the present framework by introducing additional qubits for each lattice site [ 14 ] . Besides accounting for the details of the nuclear force entirely, similar simulations would also reach larger systems with similar computing effort as lighter systems on quantum hardware. These are not yet feasible due to resource constraints, but current research and proof-of-concept studies, such as those discussed above, provide a robust groundwork for progressing in this challenge.
Supporting Information is available from the Wiley Online Library or from the Authors.
E.P. acknowledges the project CQES of the Italian Space Agency (ASI). E.P. and L.N. thanks ENI S.p.A., for having partially supported this work.
The data that support the findings of this study are available from the corresponding Authors upon reasonable request.
The code and the algorithm used in this study are available from the corresponding author upon reasonable request.
L.N. developed the simulation and implemented the algorithms, C.B. elaborated on the physical interpretation of the quantum simulation in the realm of nuclear physics, E.P. conceived and coordinated this research. All the Authors contributed to discuss the results and to the writing of the manuscript.
The Authors declare that there are no competing interests
VQE | 3.844 | -0.681 | 6.510 | 3.526 | -4.452 | 7.411 | 4.764 | 5.181 | -5.026 | 0.444 | -1.456 | 5.666 | 2.047 | 3.881 | -0.937 | -3.530 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
VQD | 4.891 | 1.247 | -4.682 | -2.074 | -3.245 | -1.542 | 3.301 | -5.139 | -3.043 | 3.870 | 4.424 | 2.058 | -5.118 | -1.609 | 4.680 | 5.944 | |
VQE/AC | 3.206 | -1.154 | -1.938 | -1.819 | -2.934 | 1.126 | 4.010 | -4.399 | -2.199 | 4.315 | 4.011 | 0.284 | -3.206 | 0.114 | 4.700 | 6.185 |
The University of Maryland will offer a new minor in quantum science and engineering beginning in spring 2025. Students in the minor will learn about quantum computing technologies, algorithms for quantum computers, characteristics of quantum materials, and sensing and noise in quantum systems.
“Our new quantum minor complements our well-recognized strength in quantum research and helps prepare our undergraduate students to join the workforce in this emerging field or attend graduate school and contribute to future quantum research,” said Sennur Ulukus, chair of UMD’s Department of Electrical and Computer Engineering (ECE).
Undergraduate students in the A. James Clark School of Engineering and College of Computer, Mathematical, and Natural Sciences (CMNS) will be eligible to enroll in the minor. Applications will be accepted online from October 28, 2024 to December 6, 2024. The minor was created through a multidisciplinary collaboration between the departments of ECE, physics , computer science , materials science and engineering , and mechanical engineering .
“With this new program, we are significantly enhancing the set of courses on quantum topics for UMD undergraduates. The minor will let students approach quantum science and engineering from different angles and explore the subject deeply,” said Andrew Childs , a professor in the Department of Computer Science and the University of Maryland Institute for Advanced Computer Studies .
The new minor adds to UMD’s quantum education offerings, which include a quantum information specialization for computer science majors and quantum computing master’s and graduate certificate programs .
“Quantum information science is inherently multidisciplinary, going beyond just physics,” said Steve Rolston , chair and professor of the Department of Physics. “This minor will allow students throughout CMNS to learn about quantum.”
In addition to academics, UMD is a hub for quantum research and development. Over 200 quantum scientists and engineers at the university are exploiting the unique properties of quantum physics to usher in a new age of technology: quantum computers capable of currently intractable calculations, ultra-secure quantum networking and exotic new quantum materials.
The quantum enterprise at UMD includes the following:
The Q-Lab will also provide equipment for two lab courses offered in the new minor, one focused on quantum hardware and the other focused on quantum software. The courses will give students a physical appreciation for what quantum can do on top of the math and science theory they will learn in their lecture courses.
“We’re not just teaching students about quantum mechanics. We’re preparing them to think in ways that bridge the classical and quantum-computing worlds,” said ECE Professor Patrick O’Shea , director of quantum education programming. “We educate our students to be creative quantum explorers, not just quantum-tourists.”
Adapted from text provided by the Department of Electrical and Computer Engineering.
The College of Computer, Mathematical, and Natural Sciences at the University of Maryland educates more than 8,000 future scientific leaders in its undergraduate and graduate programs each year. The college's 10 departments and nine interdisciplinary research centers foster scientific discovery with annual sponsored research funding exceeding $250 million.
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by Dina Meek, National Center for Supercomputing Applications
PEARC24 launched its first Workshop on Broadly Accessible Quantum Computing (QC) as the full conference began, July 22, in Providence, RI. Led by NCSA's Bruno Abreu and QuEra's Tomasso Macri, 30+ participants included quantum chemists, system administrators, software developers, research computing facilitators, students and others looking to better understand the current status and the prospects of QC and its applications.
The workshop focused on how integrating quantum technologies into traditional research computing programs and facilities can benefit the broader community.
"There is a consensus that quantum computers will be very specialized machines that will deliver several flavors of advantages for specific computational problems," said Abreu.
"Overall, it's impossible to imagine an application solving a problem with substantial scientific and societal impact that runs entirely in a quantum computer. The much more likely scenario is one in which we have hybrid applications that leverage quantum information processing in tandem with conventional computing resources such as CPUs, GPUs, FPGAs, and parallel file systems.
"Thus, connecting the advanced cyber infrastructure and the QC communities is a critical effort to the progress of QC and HPC. Starting to bridge the gap is what we wanted to get out of this workshop, and PEARC is a great platform for making this happen."
Through panel discussions as well as case studies, the workshop centered around how to make QC more accessible. Kicking off the workshop, Keynote speaker Yipeng Huang, assistant professor of computer science at Rutgers University, explained the current state of quantum computing and how some potential applications, such as factoring and search optimization, could benefit finance, industrial and logistics sectors.
However, among the issues quantum computing presents is that quantum states are fragile and susceptible to several types of noise. Error correction codes to address that noise can be quite expensive and require conventional computing in tandem with quantum information processing.
Though simulation will continue to play a crucial and growing role as quantum computing systems scale into the era of quantum error correction, researchers will need access to more powerful simulation tools.
So how will we continue to make progress, given quantum is very much a problem if you don't know what you don't know? In a word, people.
Huang spoke about the work Rutgers has done in considering workforce development in QC, including his creation of a quantum-focused curriculum. However, he said, there are very few QC programs outside of R1 institutions. Beyond that issue, Huang said growing a strong quantum computing workforce really requires engagement at the early grade school level, all the way through graduate school.
The ultimate software is people.
The conversation shifted to energy consumption in a panel discussion focused on the transformative power of quantum technologies. Panelist Nicholas Harrigan of NVIDIA noted that a quantum computer will have to have a supercomputer running alongside it and that NVIDIA's runs the most energy-efficient supercomputers in the world.
Fellow panelist Travis Scholten from IBM observed that assessing the usefulness of quantum computers based solely on single-number metrics (such as energy consumption) alone is premature, quipping that "Quantum advantage is in the eye of the beholder," and pointing out that in current computational workflows, tradeoffs are always made about speed, accuracy, energy and a myriad of other factors.
Harrigan agreed, saying you must measure the impact versus the cost, such as energy consumption. For example, he said quantum is better at computing-intense problems than data-intense problems, so the devices should be seen as hugely impactful innovation tools, rather than widespread data processing centers.
Rounding back to the importance of people in advancing quantum computing, Harrigan and Scholten both agreed that partnerships will be critical; for example, QC developers aren't going to understand what a specific domain needs without partnering.
The final panel discussion of the day asked, "What Do We Need to Make Quantum Resources Useful and Broadly Accessible?" Again, the answer seemed to essentially be "people."
Erik Garcell from Classiq said the more people who have access to quantum computing, the more useful it will be. Fellow panelist and QuEra Co-founder Nate Gemelke added, "The ultimate software is people," saying accelerating education in quantum is the real challenge. He said it's hard to pinpoint how far out "useful and broad access" is—it could be five years, it could be 25 years. But clearly, acclimating people to quantum computing is key to progress.
Gemelke said there may be too much of a bias in thinking about how classical computing has been developed that it's stifling development of quantum computing, adding the need to bring new thinkers in to "play" in the space without worrying about the cost or immediate results.
Garcell concurred, noting quantum is a scary concept for a lot of people and we need to make it friendlier, particularly for young students. Gemelke echoed the idea of starting students early in QC, even citing the book "Quantum Computing for Babies" (Sourcebooks Explore), saying if you can teach the youngest mind what a quantum bit is, they may be able to come at these challenges in a different way.
"Quantum is an important experiment for humanity," Gemelke said. "I believe we will all be humbled by what we achieve."
Abreu concluded by saying that while gauging the appropriate content and audience for a first workshop iteration is always challenging, the organizers were pleased to see such an engaged group of people who not only were interested in learning about QC through the many sessions throughout the day but also contributed with thoughtful comments and questions.
"I think we had an excellent balance of academic and industry folks, which resonates with the overall theme of making QC accessible since, as pointed out during the workshop, collaboration is critical," he said.
"The feedback we received was quite positive and we are very much looking forward to organizing this again for PEARC25. The QC landscape evolves at a very quick pace, and we are confident much progress will unfold to make the next iteration full of new content. We will definitely need a bigger room."
Provided by National Center for Supercomputing Applications
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Our list discusses some of the top quantum computing graduate programs from around the world and the research they focus on.
The PhD program in Quantum Science and Engineering provides graduate training in a new discipline at the intersection of quantum physics and information theory. Just as the 20th century witnessed a technological and scientific revolution ushered in by our newfound understanding of quantum mechanics, the 21st century now offers the promise of a new class of technologies and lines of scientific ...
Statement of Purpose Applicants should detail their reason for pursuing the PhD in quantum science and engineering and explain why this program is particularly well-suited for them. A student who has a marked interest in a particular area of quantum science and engineering should include this information in the online application.
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Harvard University plays a leading role in the development of Quantum Science & Engineering. We invite you to learn more about our PhD program. Quantum Science & Engineering at Harvard lets you work with both the science and engineering programs to design a path tailored to your research interests.
Harvard University's new PhD program in Quantum Science and Engineering—a new intellectual discipline at the nexus of physics, chemistry, computer science, and electrical engineering—promises to transform the way we acquire, process and communicate information and interact with the world around us.
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