This is the homepage of Math 422/522 Topics in Quantum Information Theory offered in Spring 2025 at Bilkent University.
This course explores foundational and advanced topics in quantum information theory, providing students with the mathematical tools and concepts necessary to understand quantum states, channels, codes, and information processing.
This course is suitable for advanced undergraduate students and graduate students with a background in linear algebra and probability.
Instructor: Cihan Okay
Location: T-173
Time: Tuesdays 13:30-15:20, Thursdays 9:30-10:20
Office Hours: Tuesdays 12:30-13:20 or by appointment (Office: SA-140)
Math 522: Midterm - %25, Final - %25, Homework (4 assignments) - %40, Oral presentation - %10
Lecture notes: Apr 3, 2025
In this course we will use The Theory of Quantum Information by John Watrous and Quantum Computation and Quantum Information by Michael A. Nielsen and Isaac L. Chuang.
Other sources: Quantum Information Theory by Mark M. Wilde, Quantum Information Theory by Joseph M. Renes.
You may also find the Math 421 webpage useful.
Quantum states
Week 1 (Jan 28-31): Quantum states
Week 2 (Feb 4-7): Purification
Week 3 (Feb 11-14): Trace distance
Week 4 (Feb 18-21): Fidelity
Homework I
Quantum channels
Week 5 (Feb 25-28): Quantum channels
Week 6 (Mar 4-7): Characterizations of channels
Week 7 (Mar 14): Pauli channels
Mar 11, no class
Week 8 (Mar 18-21): Single qubit channels
Week 9 (Mar 25-28): Channel fidelity
Homework II
Quantum codes
Apr 1-4, no class
[Postponed] Apr 6, Midterm (16:00-18:30)
Week 11 (Apr 8-11): Quantum-error correction
Week 12 (Apr 15-18): Stabilizer formalism
Apr 20, Midterm (14:00-16:30)
Week 13 (Apr 22-25): Stabilizer codes
Homework III
Quantum information
Week 14 (Apr 29): Entropy
May 2, no class
Week 15 (May 6-9): Source coding
Week 16 (May 13-16): Quantum source coding
Homework IV
May 19, Math 522 presentations (17:30, Zoom)
May 22, Final (9:00-12:00)