This quantum technology and statistical physics course is designed to allow students to acquire the skills necessary to investigate
scientific and engineering problems.
Quantum technology:
Because of the lag of experimental and observing techniques, theoretical investigations preceded experiments in quantum technologies. However, recent developments in superconducting devices, quantum dots, and quantum optics raise hopes that the quantum era will arrive in the years ahead. At the beginning of the course, we introduce the quantum theory after giving an overview of quantum technologies. Through tractable, simple examples, we learn the fundamentals of quantum physics and its applications.
Statistical physics:
Statistical mechanics gives a framework for understanding macroscopic phenomena in view of microscopic interactions. Because of its broad applicability in the analytic description of phenomena beyond physics, it is indispensable in materials, information, and quantum engineering. At the beginning of the course, we introduce the statistical physics and analyze tractable simple models. Through exercises, we learn the fundamentals of statistical physics and its applications.
Because of the lag of experimental and observing techniques, theoretical investigations preceded experiments in quantum technologies. However, recent developments in superconducting devices, quantum dots, and quantum optics raise hopes that the quantum era will arrive in the years ahead. At the beginning of the course, we introduce the quantum theory after giving an overview of quantum technologies. Through tractable, simple examples, we learn the fundamentals of quantum physics and its applications.
Statistical physics:
Statistical mechanics gives a framework for understanding macroscopic phenomena in view of microscopic interactions. Because of its broad applicability in the analytic description of phenomena beyond physics, it is indispensable in materials, information, and quantum engineering. At the beginning of the course, we introduce the statistical physics and analyze tractable simple models. Through exercises, we learn the fundamentals of statistical physics and its applications.
- Upon completion of this course, the student will be able to calculate probabilities relating to observations in quantum physics and quantum operations.
- Upon completion of this course, the student will be able to explain quantum algorithms and quantum circuits based on quantum theory.
- Upon completion of this course, the student will be able to understand the fundamental framework of the statistical physics
and to analyze rubber elasticity
and magnetic materials. - Upon completion of this course, the student will be able to compute quantities by using Monte Carlo simulations and to analyze the numerical data by finite-size scaling analysis.
| レポートおよび小テスト | Total. | |
|---|---|---|
| 1. | 25% | 25% |
| 2. | 25% | 25% |
| 3. | 25% | 25% |
| 4. | 25% | 25% |
| Total. | 100% | - |
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Introduction to the quantum theory | Students have to investigate the quantum theory. | 190minutes |
| 2. | Quantum observation and Bell inequality | Students have to investigate the quantum observation. | 190minutes |
| 3. | Quantum operation and operator | Students have to investigate quantum operations and operators. | 190minutes |
| 4. | Density operator and entanglement | Students have to investigate the density operator and entanglement. | 190minutes |
| 5. | Quantum algorithm and quantum circuit I | Students have to investigate quantum algorithms and quantum circuits. | 190minutes |
| 6. | Quantum algorithm and quantum circuit II | Students have to investigate quantum algorithms and quantum circuits. | 190minutes |
| 7. | Shor's algorithm | Students have to investigate Shor's algorithm. | 190minutes |
| 8. | Review of probabilistic method | Students have to review the probabilistic method. | 190minutes |
| 9. | Formulation of the statistical mechanics | Students have to investigate Maxwell distribution and canonical ensemble. | 190minutes |
| 10. | Two-level atomic system and rubber elasticity | Students have to calculate quantities of the two-level atomic system and rubber elasticity. | 190minutes |
| 11. | One- and infinite-dimensional magnetic materials | Students have to calculate quantities of one- and infinite-dimensional magnetic materials. | 190minutes |
| 12. | Monte Carlo method | Students have to calculate quantities of magnetic materials by using the Monte Carlo method. | 190minutes |
| 13. | Finite-size scaling analysis | Students have to analyze physical quantities. | 190minutes |
| 14. | Statistical physics and image restoration | Students have to investigate common mathematical principles of statistical physics and image restoration. | 190minutes |
| 15. | |||
| Total. | - | - | 2660minutes |
| ways of feedback | specific contents about "Other" |
|---|---|
| Feedback in the class |
Each lecturer prepares materials and gives instructions as appropriate.
Students MUST have passed: Differential and integral calculus, mechanical dynamics, linear algebra, differential equation,
Fourier analysis, fundamental mechanics, material mechanics, and mechanical dynamics.
- Office hour for each lecturer is specified on ScombZ.
- Course that cultivates a basic problem-solving skills
- Course that cultivates an ability for utilizing knowledge
- Course that cultivates a basic interpersonal skills
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | 該当しない |
- 4.QUALITY EDUCATION
- 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Sat Mar 08 04:31:17 JST 2025