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Entanglement due to noncommutativity in phase space

2013; American Physical Society; Volume: 88; Issue: 8 Linguagem: Inglês

10.1103/physrevd.88.085013

1550-7998

Catarina Bastos, Alex E. Bernardini, Orfeu Bertolami, Nuno Costa Dias, João Nuno Prata,

Quantum Information and Cryptography

The entanglement criterion for continuous variable systems and the conditions under which the uncertainty relations are fulfilled are generalized to the case of a noncommutative phase space. The quantum nature and the separability of noncommutative two-mode Gaussian states are examined. It is shown that the entanglement of Gaussian states may be exclusively induced by switching on the noncommutative deformation.