Entanglement distillation by means of k-extendible maps

Details Entanglement distillation by means of k-extendible maps Entanglement distillation by means of k-extendible maps

2011-09-08

arxiv.org/abs/1109.1779v1

Physics

Quantum Physics

10 pages, 5 figures

Scientific paper

It is known that from entangled states which have positve partial transpose it is not possible to distill maximally entangled state by local operations and classical communication (LOCC). A long-standing problem is whether all states with non-positive partial transpose can be distilled. In this paper we attack this question using a larger class of operations than LOCC operations. Namely, we consider k-extendible operations - those, whose Choi-Jamiolkowski state is k-extendible. We obtain, in particular, that this class is unexpectedly powerful - e.g. capable of distilling even completely product states. We also perform numerical studies of distillation of Werner states by those maps, which imply, that if we raise the extension index k in parallel with raising the numebr of copies, they are not that powerful anymore.

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