Preparation of bipartite bound entangled Gaussian states in quantum optics

Shan Ma, Matthew J. Woolley, Xiaojun Jia, and Jing Zhang
Phys. Rev. A 100, 022309 – Published 8 August 2019

Abstract

The positivity of the partial transpose is in general only a necessary condition for separability. There exist quantum states that are not separable, but nevertheless are positive under the partial transpose. States of this type are known as bound entangled states, meaning that these states are entangled but they do not allow distillation of pure entanglement by means of local operations and classical communication. We present a parametrization of a class of 2×2 bound entangled Gaussian states for bipartite continuous-variable quantum systems with two modes on each side. We propose an experimental protocol for preparing a particular bound entangled state in quantum optics. We then discuss the robustness properties of this protocol with respect to the occupation number of thermal inputs and the degrees of squeezing.

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  • Received 26 April 2019

DOI:https://doi.org/10.1103/PhysRevA.100.022309

©2019 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Atomic, Molecular & Optical

Authors & Affiliations

Shan Ma1,2, Matthew J. Woolley3, Xiaojun Jia2, and Jing Zhang2,*

  • 1School of Automation, Central South University, Changsha 410083, China
  • 2State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University, Taiyuan 030006, China
  • 3School of Engineering and Information Technology, UNSW Canberra, Campbell, Australian Capital Territory 2600, Australia

  • *jzhang74@yahoo.com; jzhang74@sxu.edu.cn

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Issue

Vol. 100, Iss. 2 — August 2019

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