Entangled Mixed States and Local Purification

Details Entangled Mixed States and Local Purification Entangled Mixed States and Local Purification

1998-05-29

arxiv.org/abs/quant-ph/9805088v3

Phys.Rev.Lett. 81 (1998) 2839-2841

Physics

Quantum Physics

3 pages, Latex with Revtex. Small clarifications and reference added

Scientific paper

10.1103/PhysRevLett.81.2839

Linden, Massar and Popescu have recently given an optimization argument to show that a single two-qubit Werner state, or any other mixture of the maximally entangled Bell states, cannot be purified by local operations and classical communications. We generalise their result and give a simple explanation. In particular, we show that no purification scheme using local operations and classical communications can produce a pure singlet from any mixed state of two spin-1/2 particles. More generally, no such scheme can produce a maximally entangled state of any pair of finite-dimensional systems from a generic mixed state. We also show that the Werner states belong to a large class of states whose fidelity cannot be increased by such a scheme.

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