Instructor

Teaching Assistant

Monday and Wednesday 10–11:20 in QNC 1201 
Instructor

Teaching Assistant

Monday and Wednesday 10–11:20 in QNC 1201 
Announcements:
Course text:
J. Watrous. The Theory of Quantum Information. Cambridge University Press, 2018. [html] 
The lectures topics listed below should be considered tentative for future lectures. Readings will be posted as the lectures take place.
September 4 
Lecture 1: Course overview; registers and states Reading: pages 58–64, plus the course outline You may also wish to read through relevant parts of Chapter 1, to clarify the notation used in the course and to review various concepts from linear algebra. (In general, Chapter 1 should be consulted as needed, throughout the course.) 
September 9 
Lecture 2: Compound registers and reductions of states Reading: pages 65–69. 
September 11 
Lecture 3: Purifications of states Reading: pages 70–76. Also be sure to familiarize yourself with the operatorvector correspondence (i.e., the vec mapping) discussed on pages 23–24. 
September 16 
Lecture 4: Channels and their representations Reading: pages 72–81. 
September 18 
Lecture 5: Characterizations of channels Reading: pages 82–91. 
September 23 
Lecture 6: Examples of channels; measurements Reading: pages 91–96, 100–109. 
September 25 
Lecture 7: Similarity and distance measures for states 
September 30 
Lecture 8: Semidefinite programming 
October 2 
Lecture 9: Optimal measurements and channels 
October 7 
Lecture 10: Entropy and source coding 
October 9 
Lecture 11: Von Neumann entropy and quantum relative entropy 
October 14 
No lecture (Thanksgiving and reading week) 
October 16 
No lecture (Thanksgiving and reading week) 
October 21 
Lecture 12: Joint convexity of quantum relative entropy 
October 23 
Lecture 13: Strong subadditivity and Holevo's theorem 
October 28 
Lecture 14: Majorization for real vectors and Hermitian operators 
October 30 
Lecture 15: Weyl covariant channels and Schur channels 
November 4 
Lecture 16: Separability for states 
November 6 
Lecture 17: LOCC and separable channels 
November 11 
Lecture 18: Nielsen's theorem 
November 13 
Lecture 19: Measures of entanglement 
November 18 
Lecture 20: PPT states 
November 20 
Lecture 21: The completely bounded trace norm 
November 25 
Lecture 22: Unitarily invariant measures 
November 27 
Lecture 23: Applications of unitarily invariant measures 
December 2 
Lecture 24: TBD 
Abel's Exercise set 1 
[pdf]

A project handout will be posted here when it is available.