English

Mixed state localizable entanglement for continuous variables

Quantum Physics 2012-08-27 v1

Abstract

We investigate localization of entanglement of multipartite mixed Gaussian states into a pair of modes by local Gaussian measurements on the remaining modes and classical communication. We provide a detailed proof that for arbitrary symmetric Gaussian state maximum entanglement can be localized by homodyne detection of either amplitude or phase quadrature on each mode. We then consider arbitrary mixed three-mode Gaussian states and show that the optimal Gaussian measurement on one mode yielding maximum entanglement among the other two modes can be determined by calculating roots of a high-order polynomial. Finally, we discuss localization of entanglement with single-photon detection.

Keywords

Cite

@article{arxiv.0805.3088,
  title  = {Mixed state localizable entanglement for continuous variables},
  author = {Ladislav Mišta, and Jaromír Fiurášek},
  journal= {arXiv preprint arXiv:0805.3088},
  year   = {2012}
}

Comments

11 pages, 3 figures

R2 v1 2026-06-21T10:42:31.129Z