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- Undergraduate major in Mechanical Engineering
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- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
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School of Environment and Society
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- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Physics
- Instructor(s)
- Ohzeki Masayuki
- Class Format
- Lecture (Livestream)
- Media-enhanced courses
- Day/Period(Room No.)
- Intensive ()
- Group
- -
- Course number
- PHY.P558
- Credits
- 1
- Academic year
- 2022
- Offered quarter
- 2Q
- Syllabus updated
- 2022/3/16
- Lecture notes updated
- -
- Language used
- English
- Access Index
-
Course description and aims
As theoretical and experimental research on quantum computers matures, interest in the field is growing.
One unexpected connection is statistical mechanics.
Quantum annealing solves combinatorial optimization problems, and the amount of computation required to solve them is related to the quantum phase transition of the system under study.
Quantum error correction codes are related to frustration and gauge transformations of the spin-glass model.
Measuring quantum computation uses the distribution function of a classical spin system to investigate its properties.
The typical performance of quantum random circuits is known to correspond to the classical spin-glass model.
In studying such quantum computers, the correspondence with statistical mechanics cannot be avoided.
In this lecture, we will introduce such various points of contact and learn the knowledge of statistical mechanics necessary to understand quantum computers.
Student learning outcomes
To be able to understand quantum computers from the aspect of statistical mechanics.
Keywords
Quantum computers, quantum annealing, statistical mechanics, classical spin systems, spin glass
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | ✔ Critical thinking skills | ✔ Practical and/or problem-solving skills |
Class flow
Mainly in the format of lectures.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Review of Quantum Mechanics and Statistical Mechanics | Check various calculations |
| Class 2 | Duality and phase transition | Check various calculations |
| Class 3 | Spin glass and gauge transformation | Check various calculations |
| Class 4 | Quantum error-correcting code and spin glass | Check various calculations |
| Class 5 | Measurement-based quantum computation and partition function | Check various calculations |
| Class 6 | Random quantum circuit and replica method | Check various calculations |
| Class 7 | Some progress | Check various calculations |
Textbook(s)
Spin glass and information processing by Hidetoshi Nishimori
Quantum Computation with Topological Codes: from qubit to topological fault-tolerance by Keisuke Fujii
https://arxiv.org/abs/1504.01444
Reference books, course materials, etc.
Distributed as appropriate.
Assessment criteria and methods
Mainly by homework
Related courses
- PHY.S301 ： Statistical Mechanics
- PHY.S312 ： Statistical Mechanics II
- PHY.S440 ： Statistical Mechanics III
- PHY.Q207 ： Introduction to Quantum Mechanics(Lecture)
- PHY.Q208 ： Quantum Mechanics II(Lecture)
- PHY.Q311 ： Quantum Mechanics III(Lecture)
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Understanding of the basics of statistical mechanics.
