Math400/COLL400 Topics in Quantum Information Science
Co-ordinator: Chi-Kwong Li
Zoom Meeting time: TT 9:30 a.m.-10:50 a.m. (with the Math 410-01 class),
Zoom address will be posted on blackboard.
Office: Jones 128, Tel: 221-2042
E-mail: ckli@math.wm.edu,
http://cklixx.people.wm.edu
Course description
We will discuss mathematical background, problems, and techniques in
the study of quantum information science.
Sample topics include:
- Construction and realization of special quantum channels,
- Construction and realization of special quantum states,
- Determine good creteria for separability for multi-partite states,
- Study state descrimination problems involving more than 2 given states,
- Develop quantum error correction schemes,
- Implementation of quantum alorithms using the IBM quantum computers.
The theoretical and experimental aspects of these problems will be considered.
References
- Nakahara and Ohmi, Quantum Computing. From Linear Algegra to Physical relizations, CRC
- Nielsen and Chuang, Quantum Computation and Quantum Information Science, Cambridge.
- Watrous, The Theory of Quantum Information, Cambridge.
- Yanofsky and Mannucci, Quantum Computign for Computer Scientists, Cambridge.
- The Functional Analysis of Quantum Information Theory
a collection of notes based on lectures
by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter.
https://arxiv.org/pdf/1410.7188.pdf
Assessment
Homework Presentation/paper
60% 40%
(Extra credit problems may add up to another 5%)
Work schedule
- Homework. Follow the schedule of Math 410.
- Presentations on April 6 and 8.
- Papers due: April 26.
Talks and Papers