Inseparability criterion for continuous variable systems 2000

Duan, and Giedke, and Cirac, and Zoller
Institut fur Theoretische Physik, Universitat Innsbruck, A-6020 Innsbruck, Austria and Laboratory of Quantum Communication and Quantum Computation, University of Science and Technology of China, Hefei 230026, China.

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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