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Phys. Rev. A 70, 034303 (2004) [4 pages]

P-representable subset of all bipartite Gaussian separable states

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Marcos C. de Oliveira*
Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, 13083-970, Campinas-SP, Brazil

Received 10 January 2004; revised 14 May 2004; published 17 September 2004

P-representability is a necessary and sufficient condition for separability of bipartite Gaussian states only for the special subset of states whose covariance matrix are Sp(2,R)⊗Sp(2,R) locally invariant. Although this special class of states can be reached by a convenient Sp(2,R)⊗Sp(2,R) transformation over an arbitrary covariance matrix, it represents a loss of generality, avoiding inference of many general aspects of separability of bipartite Gaussian states.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.70.034303
DOI:
10.1103/PhysRevA.70.034303
PACS:
03.67.−a, 03.65.Ta

*Electronic address: marcos@ifi.unicamp.br