Quantum Information Processing

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Lecturer
Matsumoto Ryutaroh 
Place
Tue3-4(S637)  
Credits
Lecture2  Exercise0  Experiment0
Code
56019
Syllabus updated
2009/3/30
Lecture notes updated
2009/7/21
Access Index
Semester
Spring Semester

Outline of lecture

驥丞ュ仙鴨蟄ヲ縺ョ騾壻ソ。繝サ險育ョ励∈縺ョ蠢懃畑縺ォ縺、縺縺ヲ隱ャ譏弱☆繧九ょ叙繧贋ク翫£繧九ユ繝シ繝槭ッシ碁丞ュ舌ユ繝ャ繝昴シ繝繝シ繧キ繝ァ繝ウ繝サ驥丞ュ先囓蜿キ繝サ驥丞ュ舌い繝ォ繧エ繝ェ繧コ繝縺ェ縺ゥ繧剃コ亥ョ壹@縺ヲ縺繧九りャ帷セゥ縺ョ逅隗」縺ォ蠢隕√↑驥丞ュ仙鴨蟄ヲ縺翫h縺ウ謨ー蟄ヲ縺ョ隱ャ譏弱r隰帷セゥ蜑榊濠縺ォ陦後>シ梧ィ呎コ也噪縺ェ髮サ豌励サ諠蝣ア邉サ蟄ヲ遘大穀讌ュ逕溘′莠亥y遏・隴倡┌縺励↓隰帷セゥ繧堤炊隗」縺ァ縺阪k繧医≧縺ォ縺吶k縲よ蕗遘第嶌縺ッ窶弉uantum Computation and Quantum Information窶晢シM. A. Nielsen and I. L. Chuang, ISBN 0521635039シ峨r菴ソ逕ィ縺暦シ後Ξ繝昴シ繝郁ェイ鬘後r謨咏ァ第嶌縺九i蜃コ鬘後☆繧九ゑシ郁恭隱槭〒髢玖ャ帙☆繧具シ

Applications of quantum mechanics to communication and computation are explained. Topics will include quantum teleportation, quantum cryptography, and quantum algorithms. Prerequisite is linear algebra only. I will explain mathematics and physics used in the explanation of the above topics. The textbook is 窶弉uantum Computation and Quantum Information窶 by M. A. Nielsen and I. L. Chuang (ISBN 0521635039), from which homework is chosen.

Purpose of lecture

Applications of quantum mechanics to communication and computation are explained. Topics will include quantum teleportation, quantum cryptography, and quantum algorithms. Prerequisite is linear algebra only. I will explain mathematics and physics used in the explanation of the above topics.

Plan of lecture

01.Mathematical model of quantum systems
02.BB84 quantum key distribution protocol
03.Tensor product
04.Quantum teleportation
05.Superdense coding
06.Examination
07.Quantum algorithm for factoring (1)
08.Quantum algorithm for factoring (2)
09.Quantum algorithm for factoring (3)
10.Quantum channel
11.Quantum error correction
12.BB84 protocol with error correction and privacy amplification
13.Security analysis of BB84

Textbook and reference

Quantum Computation and Quantum Information by M. A. Nielsen and I. L. Chuang (ISBN 0521635039)
Its Japanese translation are 驥丞ュ舌さ繝ウ繝斐Η繝シ繧ソ縺ィ驥丞ュ宣壻ソ。 (1)ス(3).

Related and/or prerequisite courses

Basic knowledge of linear algebra is required.

Evaluation

Marks are based on examination and report.

Comments from lecturer

Although this course is taught in English, questions in Japanese are welcome.

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