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An inseparability criterion based on the total variance of a pair of Einstein-Podolsky-Rosen type operators is proposed for continuous variable systems. The criterion provides a sufficient condition for entanglement of any two-party continuous variable states. Furthermore, for all Gaussian states, this criterion turns out to be a necessary and sufficient condition for inseparability.
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CERN Bulletin
Physical Review Letters
University of Science and Technology of China
Universität Innsbruck
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Duan et al. (Mon,) studied this question.