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arXiv · 2004.13948

Maximum entanglement of formation for a two-mode Gaussian state over passive operations

Spyros Tserkis·Jayne Thompson·Austin P. Lund·Timothy C. Ralph·Ping Koy Lam·Mile Gu·Syed M. Assad
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Abstract

We quantify the maximum amount of entanglement of formation (EoF) that can be achieved by continuous-variable states under passive operations, which we refer to as EoF-potential. Focusing, in particular, on two-mode Gaussian states we derive analytical expressions for the EoF-potential for specific classes of states. For more general states, we demonstrate that this quantity can be upper-bounded by the minimum amount of squeezing needed to synthesize the Gaussian modes, a quantity called squeezing of formation. Our work, thus, provides a new link between non-classicality of quantum states and the non-classicality of correlations.

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Spyros Tserkis, Jayne Thompson, Austin P. Lund, Timothy C. Ralph, Ping Koy Lam, Mile Gu, Syed M. Assad. 2020-11-20. Maximum entanglement of formation for a two-mode Gaussian state over passive operations. https://doi.org/10.1103/physreva.102.052418

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