Spring 2013 APSC 695 Research and Reading on Quantum Information Science

Chi-Kwong Li
Office: Jones 128, Tel:221-2042, E-mail: math.ckli@gmail.com
http://cklixx.people.wm.edu/

Meeting Time and Place

Wednesday, 10:00 - noon. Jones 131.

Course Description

We discuss problems and do reading on material related to Quantum Information Science.

• Phillip Kaye, Raymond Laflamme and Michele Mosca, An Introduction to Quantum Computing, Oxford University Press, 2007.
• M. Nakahara and T. Ohmi, Quantum Computing: From Linear Algebra to Physical Realizations, CC Press, 2008.
• M.A. Nielsen and I.L. Chuang, Quantum computation and quantum information, Cambridge University Press, Cambridge, 2000.
• Eleanor G. Rieffel and Wolfgang H. Polak, Quantum Computing: A Gentle Introduction (Scientific and Engineering Computation), The MIT Press, 2011.
• John Watrous, Theory of Quantum Information, Lecture notes from Fall 2008, IQC, Waterloo.
• Noson S. Yanofsky and Mirco A. Mannucci, Quantum Computing for Computer Scientists, Cambridge University Press, 2008.
• Wikipedia. Key word search on "Quantum Computation", "quantum information science", etc.

Presentation Schedule of the Fall of 2012

• Jan. 23. Research discussion. Factorization of permutations.
• Jan. 30. Research disucssion. Decomposition of Toffoli gate.
• Feb. 6. Research discussion. Sufficient Condition for AB = BA.
• Feb. 13. Research discussion. Conjugate problem in group theory.
• Feb. 20. CK Li. Chapter 1 of the notes of Watrous.
  Research discussion. Computation of determinant.
• Feb. 27. CK Li. Chapter 2 of the notes of Watrous.
• March 6. Spring break.
• March 13. Diane Pelejo: Chapter 3-I.
• March 20. Diane Pelejo. Chapter 3-II.
• March 27. Junhua He: Chapter 4-I.
• April 3. Junhau He: Chapter 4-II ,
• April 10. Runling An. Chapter 5-I.
• April 17. Runling An. Chapter 5-II.
• April 24. Hou Biao Li. Chapter 6.
• May 1. Hou Biao Li. Chapter 6.
• May 8. Chun Yuan Deng. Chapter 7.
• May 15. Chun Yuan Deng. Chapter 7.

[ Chapter 1. | Chapter 2. ]

• Sept. 4. An elliptical curve problem arising from extremal graph problems.
  A geometry problem arising from inverse eigenvalue problem.
• Sept. 11. Li - Watrous note, Chapter 8. Part 1.
• Sept. 18. Pelejo - Watrous note, Chapter 8. Part 2.
  [Paper 1 | Paper 2]
• Sept. 25. Pelejo - Watrous note, Chapter 9.
  An - Preserver problems related to quantum information science.
• Oct. 2.
• Oct. 9.