WSQB0701 Quantum Theory of Correlated Matter

Hiroshima University Syllabus

Japanese

Academic Year 2024Year School/Graduate School Graduate School of Advanced Science and Engineering (Master's Course) Division of Advanced Science and Engineering Transdisciplinary Science and Engineering Program

Lecture Code WSQB0701 Subject Classification Specialized Education

Subject Name 相関系量子論

Subject Name
（Katakana）ソウカンケイリョウシロン

Subject Name in
English Quantum Theory of Correlated Matter

Instructor ISHIZAKA SATOSHI,HATAKENAKA NORIYUKI,IINUMA MASATAKA

Instructor
(Katakana) イシザカ　サトシ,ハタケナカ　ノリユキ,イイヌマ　マサタカ

Campus Higashi-Hiroshima Semester/Term 1st-Year, Second Semester, 4Term

Days, Periods, and Classrooms (4T) Tues3-6：IAS C115

Lesson Style Lecture Lesson Style
(More Details) 　

Lecture-oriented class

Credits 2.0 Class Hours/Week 　 Language of Instruction B : Japanese／English

Course Level 6 : Graduate Advanced

Course Area（Area） 25 : Science and Technology

Course Area（Discipline） 06 : Physics

Eligible Students

Keywords quantum correlation, quantum information theory, quantum entanglement, quantum computer, quantum decoherence, analytical mechanics, path integral

Special Subject for Teacher Education 　 Special Subject 　

Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students)
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students)

Class Objectives
/Class Outline This course is designed to provide classes of quantum information theory, backgrounded by theories of condensed matter physics, in particular from the viewpoint of quantum correlation. The purposes are to understand the foundamental concepts of quantum theory, to master calculation techniques such as path integral widely used in various fields, and to learn the applications to emerging information sciences.

Class Schedule lesson1 (Hatakenaka/Ishizaka): Introduction
lesson2 (Ishizaka): Density matrices in quantum mechanics (1)
lesson3 (Ishizaka): Density matrices in quantum mechanics (2)
lesson4 (Ishizaka): Quantum decoherence (1)
lesson5 (Ishizaka): Quantum decoherence (2) (Jyanes-Commings model)
lesson6 (Ishizaka): Quantum adiabatic theorem and quantum annealing
lesson7 (Ishizaka): Quantum nonlocality (1)
lesson8 (Ishizaka): Quantum nonlocality (2)
lesson9 (Hatakenaka): Analytical Mechanics (1)
lesson10 (Hatakenaka): Analytical Mechanics (2)
lesson11 (Hatakenaka): Analytical Mechanics (3)
lesson12 (Hatakenaka): Path Integral (1)
lesson13 (Hatakenaka): Path Integral (2)
lesson14 (Hatakenaka): Path Integral (3)
lesson15 (Hatakenaka): Summay

Text/Reference
Books,etc. Textbooks and reference books are indicated in the class.

PC or AV used in
Class,etc. 　

(More Details) PowerPoint (in several classes)

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review lesson1: Bring this syllabus
lesson2: Review quantum mechanics before the class.
lesson3: Review linear algebra (matrix, rank, tensor prduct) before the class.
lesson4: Review master equations before the class.
lesson5: Review density matrices before the class.
lesson6: Look up quantum computation before the class.
lesson7: Look up the Bell inequality before the class.
lesson8: Look up the Einstein-Podolsky-Rosen paradox before the class.
lesson9: Review Mechanics at ungergraduate levels before the class.
lesson10: Check the Legendre transformation.
lesson11: Check the Poisson brackets.
lesson12: Write down a map of Analytical Mechanics in your own way after the class.
lesson13: Read the book entitled by ""Surely You're Joking, Mr. Feynman!": Adventures of a Curious Character" before the class.
lesson14: Consider the applicability of path integral to your master thesis.
lesson15: Draw a map for this class in your own way after the class.

Requirements

Grading Method Final report and attitude toward the class are evaluated comprehensively

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message

Other The language of instruction will be decided and announced by the instructor on the first day of class based on the language proficiency of the students.

Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching.

Academic Year	2024Year	School/Graduate School	Graduate School of Advanced Science and Engineering (Master's Course) Division of Advanced Science and Engineering Transdisciplinary Science and Engineering Program
Lecture Code	WSQB0701	Subject Classification	Specialized Education
Subject Name	相関系量子論
Subject Name （Katakana）	ソウカンケイリョウシロン
Subject Name in English	Quantum Theory of Correlated Matter
Instructor	ISHIZAKA SATOSHI,HATAKENAKA NORIYUKI,IINUMA MASATAKA
Instructor (Katakana)	イシザカ　サトシ,ハタケナカ　ノリユキ,イイヌマ　マサタカ
Campus	Higashi-Hiroshima	Semester/Term	1st-Year, Second Semester, 4Term
Days, Periods, and Classrooms	(4T) Tues3-6：IAS C115
Lesson Style	Lecture	Lesson Style (More Details)
Lecture-oriented class
Credits	2.0	Class Hours/Week		Language of Instruction	B : Japanese／English
Course Level	6 : Graduate Advanced
Course Area（Area）	25 : Science and Technology
Course Area（Discipline）	06 : Physics
Eligible Students
Keywords	quantum correlation, quantum information theory, quantum entanglement, quantum computer, quantum decoherence, analytical mechanics, path integral
Special Subject for Teacher Education		Special Subject
Class Status within Educational Program (Applicable only to targeted subjects for undergraduate students)
Criterion referenced Evaluation (Applicable only to targeted subjects for undergraduate students)
Class Objectives /Class Outline	This course is designed to provide classes of quantum information theory, backgrounded by theories of condensed matter physics, in particular from the viewpoint of quantum correlation. The purposes are to understand the foundamental concepts of quantum theory, to master calculation techniques such as path integral widely used in various fields, and to learn the applications to emerging information sciences.
Class Schedule	lesson1 (Hatakenaka/Ishizaka): Introduction lesson2 (Ishizaka): Density matrices in quantum mechanics (1) lesson3 (Ishizaka): Density matrices in quantum mechanics (2) lesson4 (Ishizaka): Quantum decoherence (1) lesson5 (Ishizaka): Quantum decoherence (2) (Jyanes-Commings model) lesson6 (Ishizaka): Quantum adiabatic theorem and quantum annealing lesson7 (Ishizaka): Quantum nonlocality (1) lesson8 (Ishizaka): Quantum nonlocality (2) lesson9 (Hatakenaka): Analytical Mechanics (1) lesson10 (Hatakenaka): Analytical Mechanics (2) lesson11 (Hatakenaka): Analytical Mechanics (3) lesson12 (Hatakenaka): Path Integral (1) lesson13 (Hatakenaka): Path Integral (2) lesson14 (Hatakenaka): Path Integral (3) lesson15 (Hatakenaka): Summay
Text/Reference Books,etc.	Textbooks and reference books are indicated in the class.
PC or AV used in Class,etc.
(More Details)	PowerPoint (in several classes)
Learning techniques to be incorporated
Suggestions on Preparation and Review	lesson1: Bring this syllabus lesson2: Review quantum mechanics before the class. lesson3: Review linear algebra (matrix, rank, tensor prduct) before the class. lesson4: Review master equations before the class. lesson5: Review density matrices before the class. lesson6: Look up quantum computation before the class. lesson7: Look up the Bell inequality before the class. lesson8: Look up the Einstein-Podolsky-Rosen paradox before the class. lesson9: Review Mechanics at ungergraduate levels before the class. lesson10: Check the Legendre transformation. lesson11: Check the Poisson brackets. lesson12: Write down a map of Analytical Mechanics in your own way after the class. lesson13: Read the book entitled by ""Surely You're Joking, Mr. Feynman!": Adventures of a Curious Character" before the class. lesson14: Consider the applicability of path integral to your master thesis. lesson15: Draw a map for this class in your own way after the class.
Requirements
Grading Method	Final report and attitude toward the class are evaluated comprehensively
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message
Other	The language of instruction will be decided and announced by the instructor on the first day of class based on the language proficiency of the students.
Please fill in the class improvement questionnaire which is carried out on all classes. Instructors will reflect on your feedback and utilize the information for improving their teaching.

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