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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.

### Author and article information

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