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Quantum Information Processing

Numerical detection of Gaussian entanglement and its application to the identification of bound entangled Gaussian states

  • 01-08-2020
Published in:
Authors
Shan Ma
Shibei Xue
Yu Guo
Chuan-Cun Shu
Published in
Quantum Information Processing | Issue 8/2020

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Abstract

We present a numerical method for solving the separability problem of Gaussian quantum states in continuous-variable quantum systems. We show that the separability problem can be cast as an equivalent problem of determining the feasibility of a set of linear matrix inequalities. Thus, it can be efficiently solved using existent numerical solvers. We apply this method to the identification of bound entangled Gaussian states. We show that the proposed method can be used to identify bound entangled Gaussian states that could be simple enough to be producible in quantum optics.

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previous article Cryptanalysis of limited resource semi-quantum secret sharing
next article New quantum codes from matrix-product codes over small fields
Title
Numerical detection of Gaussian entanglement and its application to the identification of bound entangled Gaussian states
Authors
Shan Ma
Shibei Xue
Yu Guo
Chuan-Cun Shu
Publication date
01-08-2020
Publisher
Springer US
Published in
Quantum Information Processing / Issue 8/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02726-1
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