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

• URL: http://arxiv.org/abs/2004.13948v4
• Date: Fri, 20 Nov 2020 20:35:16 GMT
• Title: Maximum entanglement of formation for a two-mode Gaussian state over passive operations
• Authors: Spyros Tserkis, Jayne Thompson, Austin P. Lund, Timothy C. Ralph, Ping Koy Lam, Mile Gu, Syed M. Assad
• Abstract summary: We quantify the maximum amount of entanglement of formation that can be achieved by continuous-variable states under passive operations. Our work provides a new link between non-classicality of quantum states and the non-classicality of correlations.
• Score: 0.4433315630787158
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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