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Detecting genuine multipartite continuous-variable entanglement

Peter van Loock·Akira Furusawa
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Abstract

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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Peter van Loock, Akira Furusawa. 2002-12-09. Detecting genuine multipartite continuous-variable entanglement. https://doi.org/10.1103/physreva.67.052315

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