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Detecting genuine multipartite continuous-variable entanglement

Quantum Physics 2009-11-07 v1

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.

Keywords

Cite

@article{arxiv.quant-ph/0212052,
  title  = {Detecting genuine multipartite continuous-variable entanglement},
  author = {Peter van Loock and Akira Furusawa},
  journal= {arXiv preprint arXiv:quant-ph/0212052},
  year   = {2009}
}

Comments

13 pages, 3 figures