research-article

Entanglement property of the Werner state in accelerated frames

Authors:

Wen-Chao Qiang,

M. A. Mercado Sanchez,

Shi-Hai DongAuthors Info & Claims

Volume 18, Issue 10

Pages 1 - 20

https://doi.org/10.1007/s11128-019-2421-4

Published: 01 October 2019 Publication History

Abstract

We study the entanglement property of a free Dirac field in a Werner state as seen by two relatively accelerated parties. We study the concurrence, negativity, mutual information and $$\pi $$-tangle of the tripartite system. We show how these entanglement properties depend on both the free parameter F, which is a real parameter called fidelity, and the acceleration parameter r. The degree of entanglement is degraded by the Unruh effect, but we notice that the Werner state always remains entangled even in the acceleration limit, and thus, it can become a good candidate to quantum teleportation in uniform acceleration frame. We notice that the entropy $$S(\rho _{A\, \mathrm{I}\, \mathrm{II}})$$ decreases with the free parameter F, and also $$S(\rho _{A\, \mathrm{I}\, \mathrm{II}})$$, $$S(\rho _{A})$$ and $$S(\rho _{\mathrm{I}\, \mathrm{II}})$$ are independent of the acceleration parameter r. The von Neumann entropy is not a good entanglement measure any more for this mixed state. We verify that the Werner state in a noninertial frame obeys the Coffman–Kundu–Wootters (CKW) monogamous inequality and find that two useful relations for the concurrence and negativity.

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cover image Quantum Information Processing

Quantum Information Processing Volume 18, Issue 10

Aug 2019

593 pages

ISSN:1570-0755

Issue’s Table of Contents

Copyright © 2019 Springer Science+Business Media, LLC, part of Springer Nature.

Publisher

Kluwer Academic Publishers

United States

Publication History

Published: 01 October 2019

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Cited By

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https://dl.acm.org/doi/10.1007/s11128-021-03374-9
Jing LJing J(2021)Generating entangled fermions by projective measurements in Gauss–Bonnet spacetimeQuantum Information Processing10.1007/s11128-021-02995-420:2Online publication date: 1-Feb-2021
https://dl.acm.org/doi/10.1007/s11128-021-02995-4
Liao XWen WRong MFang M(2020)Effect of partial-collapse measurement on quantum entanglement in noninertial framesQuantum Information Processing10.1007/s11128-020-2600-319:3Online publication date: 10-Feb-2020
https://dl.acm.org/doi/10.1007/s11128-020-2600-3
Zhang HWang XTang SSong Y(2020)Optimal qubit-bases for preserving two-qubit entanglement against Pauli noisesQuantum Information Processing10.1007/s11128-020-02889-x19:10Online publication date: 8-Oct-2020
https://dl.acm.org/doi/10.1007/s11128-020-02889-x
Walczak ZBauer J(2020)Measurement-induced geometric measures of correlations based on the trace distance for two-qubit X statesQuantum Information Processing10.1007/s11128-020-02680-y19:7Online publication date: 21-May-2020
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Wang KLiang YZheng Z(2020)Genuine tripartite nonlocality of GHZ state in noninertial framesQuantum Information Processing10.1007/s11128-020-02645-119:5Online publication date: 17-Mar-2020
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