IMaPh : Research Areas : Quantum Information
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Open Problems

On this page we collect problems in Quantum Information Theory we or our contributors find worthy of attention. The list is ordered by "last submission on top". Numbering is kept stable, so you can refer to the problems by number. Click on the title to find the statement of the problem and some information on known partial results. This information will be updated whenever significant progress is brought to our attention.

To make this page interesting we obviously need input from the community, so please contribute good problems. By this we mean problems in Quantum Information Theory, which are stated in a self-contained way in the current terminology of the field, are open to the best of your knowledge, and pose an interesting challenge to other researchers. We will make an effort to publish all good problems quickly, but may reject contributions we find less suitable.

Send contributions by email to <r.werner@tu-bs.de>. The format of contributions is free. Text written in simple LaTeX, and divided into sections such as Problem/ Background/ Partial Results/ Remarks/ Literature creates the smallest workload for us.


     contact   date   last progress   solved by 
           
1. All the Bell Inequalities R.F. Werner 25 Oct 1999 22 Oct 2002   -
2. Undistillability implies ppt? D. Bruß 02 Mar 2000 25 Oct 2002   -
3. Polynomial entanglement invariants R.F. Werner 13 Oct 2000 18 Dez 2001 A. Sudbery
4. Catalytic majorization M.B. Plenio 18 Dec 2000   -   -
5. Maximally entangled mixed states K. Audenaert 08 Nov 2001   -   -
6. Nice error bases D. Schlingemann 08 Nov 2001 28 May 2003 A. Klappenecker, M. Roetteler
7. Additivity of Entanglement of Formation K.G.H. Vollbrecht 16 Nov 2001 10 Feb 2003   -
8. Qubit formula for Relative Entropy of Entanglement J. Eisert 20 Jun 2003   -   -
9. Reduction criterion implies majorization? M.M. Wolf 12 Feb 2002 20 May 2003 T. Hiroshima
10. Additivity of classical capacity and related problems A.S. Holevo 31 Jan 2003 29 Aug 2003   -
11. Continuity of the Quantum channel capacity M. Keyl 20 Jun 2003   -   -
12. Bell Inequalities for long range vacuum correlations R. Verch 22 Jan 2002   -   -
13. Mutually unbiased bases B.-G. Englert 31 Jan 2003 16 Sep 2003   -
14. Tough error models E. Knill 31 Jan 2003   -   -
15. Separability from spectrum E. Knill 31 Jan 2003 13 Aug 2003   -
16. Complexity of product preparations E. Knill 31 Jan 2003   -   -
17. Reversibility of entanglement assisted coding P. Shor 31 Jan 2003   -   -
18. Qubit bi-negativity K.G.H. Vollbrecht 10 Feb 2003   -   -
19. Stronger Bell Inequalities for Werner states? N. Gisin 20 Jun 2003   -   -

Questions and comments Last modified: 10 Nov 2003 Sponsored by QUIPROCONE Top of page