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Study of the Distillability of Werner States Using Entanglement Witnesses and Robust Semidefinite Programs

arXiv:quant-ph/0608095 · doi:10.1103/PhysRevA.74.052306

Abstract

We use Robust Semidefinite Programs and Entanglement Witnesses to study the distillability of Werner states. We perform exact numerical calculations which show 2-undistillability in a region of the state space which was previously conjectured to be undistillable. We also introduce bases which yield interesting expressions for the {\em distillability witnesses} and for a tensor product of Werner states with arbitrary number of copies.

16 pages, 2 figures