Nonlocal Entanglement Transformations Achievable by Separable Operations

Details Nonlocal Entanglement Transformations Achievable by Separable Operations Nonlocal Entanglement Transformations Achievable by Separable Operations

2008-11-23

arxiv.org/abs/0811.3739v2

Phys. Rev. Lett. 103, 110502 (2009)

Physics

Quantum Physics

v2 has rephrased Theorem 1 and corrected Kraus operators in Theorem 2. Additional comments are welcomed

Scientific paper

10.1103/PhysRevLett.103.110502

For manipulations of multipartite quantum systems, it was well known that all local operations assisted by classical communication (LOCC) constitute a proper subset of the class of separable operations. Recently, Gheorghiu and Griffiths found that LOCC and general separable operations are equally powerful for transformations between bipartite pure states. In this letter we extend this comparison to mixed states and show that in general separable operations are strictly stronger than LOCC when transforming a mixed state to a pure entangled state. A remarkable consequence of our finding is the existence of entanglement monotone which may increase under separable operations.

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