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MATH 522

Topics in Quantum Information Theory

A graduate-level treatment of how quantum mechanics reshapes the foundations of information itself, from how states and channels are represented to what can actually be transmitted, compressed, or kept secret through them. You will work through the mathematical machinery — density operators, completely positive maps, fidelity and trace-distance bounds, von Neumann entropy — and apply it to stabilizer codes, Shor and CSS constructions, Schumacher compression, and a full security argument for BB84. The course sits downstream of linear algebra and basic quantum mechanics and upstream of research in quantum computing, cryptography, and channel coding, giving you the technical vocabulary needed to read Watrous and current literature rather than just describe quantum protocols in words.

Credit3ECTS5FacultyFaculty of ScienceBölümMathematics

Önerilen kaynaklar 2 kitap

📕
Zorunlu
The Theory of Quantum Information
John Watrous
2018 · Cambridge University Press
📖
Önerilen
Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac L. Chuang
2010 · Cambridge University Press

Haftalık müfredat 14 hafta

Hafta 1
Quantum states
Hafta 2
Purification
Hafta 3
Distance measures
Hafta 4
Quantum channels
Hafta 5
Characterizations of channels
Hafta 6
Measurements
Hafta 7
Single qubit channels
Hafta 8
Stabilizer theory
Hafta 9
Quantum codes
Hafta 10
Quantum error-correction
Hafta 11
Classical entropy
Hafta 12
Source coding
Hafta 13
Quantum entropy
Hafta 14
Quantum source coding

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