About the Course

Description:

The course surveys some of the properties of quantum information, quantum entanglement and quantum nonlocality.
The first 8 lectures (taught by Adrian Kent) cover the following topics:

  1. Basic principles of quantum mechanics: pure and mixed states, density matrices, entanglement. The Schmidt decomposition.
  2. The relation between quantum theory and special relativity. The EPR argument, local hidden variables. Bell's theorem and Bell experiments, the CHSH inequalities, the GHZ state. Experimental tests of nonlocality. Quantum teleportation.

The following 3 lectures (taught by Berry Groisman) cover the following topics:

  1. The paradigm of entanglement as a resource. Single copy entanglement transformations: Procrustean Method. Majorization Condition and bounds on the probability of successful transformation.
  2. Reversible asymptotic entanglement concentration protocol and von Neuman entropy as an asymptotic measure of entanglement.

Further information to follow.

Desirable Previous Knowledge:
The course is largely self-contained but elementary knowledge of quantum mechanics is assumed.

Lecturers: Adrian Kent, Jonathan Oppenheim and Berry Groisman
Class Instructor: Berry Groisman
Class Meetings:

    The second example class is currently in the process of arrangement. It will take place in the beginning of Easter term.
    Please vote on http://www.doodle.com/bxa86twfxpwchagh
    for your preferable windows.

Textbooks:

  • "Quantum computation and quantum information" by M.A. Nielsen and I.L. Chuang (CUP)
AttachmentSize
2009-10 printed lecture notes, Lectures 1-8, Adrian Kent235.08 KB
Class notes, lecture 1, Adrian Kent510.77 KB
Class notes, lecture 2, Adrian Kent966.23 KB
Example sheet 1, Adrian Kent59.57 KB
Class notes, lecture 3, Adrian Kent1.02 MB
Class notes, lecture 4, Adrian Kent322.8 KB
Class notes, lecture 5, Adrian Kent372.95 KB
Class notes, lecture 6, Adrian Kent310.25 KB
Class notes, lecture 7, Adrian Kent254.13 KB
Class notes, lecture 8, Adrian Kent200.25 KB
Class notes, lecture 9, Berry Groisman99.66 KB
Class notes, lecture 10, Berry Groisman152.84 KB
Class notes, lecture 11, Berry Groisman308.63 KB
Class notes, lecture 12, Jonathan Oppenheim (qkd 1)944.44 KB
Class notes, lecture 13, Jonathan Oppenheim (qkd 2)1.78 MB
sampling.pdf91.81 KB
0011056v3.pdf (chapter 5 contains the full qkd security proof)410.1 KB
Class Notes, Lecture 14, J. Oppenheim (they say 9, but don't believe it)1.25 MB
Class Notes, Lecture 15, J. Oppenheim 679.15 KB
Class Notes, Lecture 15 pt2, J. Oppenheim714.99 KB
Class Notes, Lecture 16, J. Oppenheim (only ppt, and NL games)922.55 KB
watrous-20.ps (NL games by J. Watrous) as an addendum to Lecture 16113.01 KB
Solutions Sheet 1, Berry Groisman91.66 KB
Example Sheet 2, Berry Groisman75.77 KB