2010/03/31 by Dragomir Z. Djokovic · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP #quant-ph
paper · pdf · doi:10.3390/e18060216
published as Entropy, 18, 216 (2016) · 19 pages, expanded version containing new results
arxiv created 2016/07/17 · arxiv updated 2017/08/21
We consider bipartite mixed states in a d⊗ d quantum system. We say that ρ is PPT if its partial transpose 1 ⊗ T (ρ) is positive semidefinite, and otherwise ρ is NPT. The well-known Werner states are divided into three types: (a) the separable states (the same as the PPT states); (b) the one-distillable states (necessarily NPT); and (c) the NPT states which are not one-distillable. We give several different formulations and provide further evidence for validity of the conjecture that the Werner states of type (c) are not two-distillable.