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On two-distillable Werner states

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      Abstract

      We consider bipartite mixed states in a \(d\otimes d\) quantum system. We say that such a state is PPT if its partial transpose is positive semidefinite, and otherwise that it is NPT. The well-known Werner states are partitioned into three types: a) the separable states (same as the PPT states), b) the 1-distillable states (necessarily NPT), and c) the NPT states which are not 1-distillable. We give several different formulations and provide further evidence for validity of the conjecture that the type c) Werner states are not 2-distillable.

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      Journal
      2010-03-23
      2016-01-07
      1003.4337

      http://arxiv.org/licenses/nonexclusive-distrib/1.0/

      Custom metadata
      12 pages, updated and re-organized version: some misprints corrected, conjecture 4.1 proved for d=2 and evidence for d=3 strengthened
      quant-ph math-ph math.MP

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