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, and Syed M. Assad
Phys. Rev. A 102, 052418 – Published 23 November 2020

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 the 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 link between nonclassicality of quantum states and the nonclassicality of correlations.

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  • Received 29 April 2020
  • Accepted 2 November 2020

DOI:https://doi.org/10.1103/PhysRevA.102.052418

©2020 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Spyros Tserkis1,*, Jayne Thompson2,3, Austin P. Lund4, Timothy C. Ralph4, Ping Koy Lam1,5, Mile Gu5,6,†, and Syed M. Assad1,5,‡

  • 1Centre for Quantum Computation and Communication Technology, Department of Quantum Science, Australian National University, Canberra, ACT 2601, Australia
  • 2Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Republic of Singapore
  • 3Horizon Quantum Computing, Alice@Mediapolis, 29 Media Circle, Singapore 138565, Republic of Singapore
  • 4Centre for Quantum Computation and Communication Technology, School of Mathematics and Physics, University of Queensland, St Lucia, Queensland 4072, Australia
  • 5Nanyang Quantum Hub, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 639673, Republic of Singapore
  • 6Complexity Institute, Nanyang Technological University, Singapore 639673, Republic of Singapore

  • *spyrostserkis@gmail.com
  • mgu@quantumcomplexity.org
  • cqtsma@gmail.com

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Issue

Vol. 102, Iss. 5 — November 2020

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