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Phys. Rev. Lett. 93, 220503 (2004) [4 pages]

Separable Multipartite Mixed States: Operational Asymptotically Necessary and Sufficient Conditions

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Fernando G. S. L. Brandão* and Reinaldo O. Vianna
Universidade Federal de Minas Gerais—Departamento de Física, Caixa Postal 702, Belo Horizonte, MG, Brazil 30.123-970

Received 12 May 2004; published 24 November 2004

We introduce an operational procedure to determine, with arbitrary probability and accuracy, optimal entanglement witnesses for every multipartite entangled state. This method provides an operational criterion for separability which is asymptotically necessary and sufficient. Our results are also generalized to detect all different types of multipartite entanglement.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.220503
DOI:
10.1103/PhysRevLett.93.220503
PACS:
03.67.Mn, 03.65.Ud

*Electronic address: fgslb@ufmg.br

Electronic address: reinaldo@fisica.ufmg.br