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We use Robust Semidefinite Programs and Entanglement Witnesses to study thedistillability of Werner states. We perform exact numerical calculations whichshow 2-undistillability in a region of the state space which was previouslyconjectured to be undistillable. We also introduce bases which yieldinteresting expressions for the {\em distillability witnesses} and for a tensorproduct of Werner states with arbitrary number of copies.Comment: 16 pages, 2 figure

Distillability of Werner states using entanglement witnesses and robust semidefinite programs