Detecting the inseparability and distillability of continuous variable states in Fock space release_foelwcshe5gpbemm3xjgoalngu

by Wang Xiang-Bin, Matsumoto Keiji, Tomita Akihisa

Released as a article .

2001  

Abstract

The partial transposition(PT) operation is an effecient tool in detecting the inseparability of a mixed state. We give an explicit formula for the PT operation for the continuous variable states in Fock space. We then give the necessary and sufficient condition for the positivity of Gaussian operators. Based on this, a number of creterions on the inseparability and distillability for the multimode Gaussian states are naturally drawn. We finally give an explicit formula for the state in a subspace of a global Gaussian state. This formula, together with the known results for Gaussian states, gives the criterions for the inseparability and distillability in a subspace of the global Gaussian state.
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Type  article
Stage   submitted
Date   2001-06-02
Version   v4
Language   en ?
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