Detecting genuine multipartite continuous-variable entanglement

Details Detecting genuine multipartite continuous-variable entanglement Detecting genuine multipartite continuous-variable entanglement

2002-12-09

arxiv.org/abs/quant-ph/0212052v1

Physics

Quantum Physics

13 pages, 3 figures

Scientific paper

10.1103/PhysRevA.67.052315

We derive necessary conditions in terms of the variances of position and momentum linear combinations for all kinds of separability of a multi-party multi-mode continuous-variable state. Their violations can be sufficient for genuine multipartite entanglement, provided the combinations contain both conjugate variables of all modes. Hence a complete state determination, for example by detecting the entire correlation matrix of a Gaussian state, is not needed.

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