Entanglement measures of a new type pseudo-pure state in accelerated frames

Qian Dong, Ariadna J. Torres-Arenas, Guo Hua Sun, Wen Chao Qiang, Shi Hai Dong

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1 Citation (Scopus)

Abstract

© 2019, Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature. In this work we analyze the characteristics of quantum entanglement of the Dirac field in noninertial reference frames in the context of a new type pseudo-pure state, which is composed of the Bell states. This will help us to understand the relationship between the relativity and quantum information theory. Some states will be changed from entangled states into separable ones around the critical value F = 1/4, but there is no such a critical value for the variable y related to acceleration a. We find that the negativity NABI(ρABITA) increases with F but decreases with the variable y, while the variation of the negativity NBIBII(ρBIBIITBI) is opposite to that of the negativity NABI(ρABITA). We also study the von Neumann entropies S(ρAB I ) and S(ρB I B II ). We find that the S(ρAB I ) increases with variable y but S(ρBIBII) is independent of it. However, both S(ρAB I ) and S(ρB I B II ) first decreases with F and then increases with it. The concurrences C(ρAB I ) and C(ρB I B II ) are also discussed. We find that the former decreases with y while the latter increases with y but both of them first increase with F and then decrease with it.
Original languageAmerican English
JournalFrontiers of Physics
DOIs
StatePublished - 1 Apr 2019

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Quantum Theory
Quantum entanglement
Information Theory
Relativity
Pure State
Information theory
Entropy
Entanglement
Germany
Education
Decrease
Critical value
information theory
Quantum Information Theory
bells
Quantum Entanglement
Concurrence
relativity
Entangled State
education

Cite this

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title = "Entanglement measures of a new type pseudo-pure state in accelerated frames",
abstract = "{\circledC} 2019, Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature. In this work we analyze the characteristics of quantum entanglement of the Dirac field in noninertial reference frames in the context of a new type pseudo-pure state, which is composed of the Bell states. This will help us to understand the relationship between the relativity and quantum information theory. Some states will be changed from entangled states into separable ones around the critical value F = 1/4, but there is no such a critical value for the variable y related to acceleration a. We find that the negativity NABI(ρABITA) increases with F but decreases with the variable y, while the variation of the negativity NBIBII(ρBIBIITBI) is opposite to that of the negativity NABI(ρABITA). We also study the von Neumann entropies S(ρAB I ) and S(ρB I B II ). We find that the S(ρAB I ) increases with variable y but S(ρBIBII) is independent of it. However, both S(ρAB I ) and S(ρB I B II ) first decreases with F and then increases with it. The concurrences C(ρAB I ) and C(ρB I B II ) are also discussed. We find that the former decreases with y while the latter increases with y but both of them first increase with F and then decrease with it.",
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Entanglement measures of a new type pseudo-pure state in accelerated frames. / Dong, Qian; Torres-Arenas, Ariadna J.; Sun, Guo Hua; Qiang, Wen Chao; Dong, Shi Hai.

In: Frontiers of Physics, 01.04.2019.

Research output: Contribution to journalArticleResearchpeer-review

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AU - Dong, Shi Hai

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AB - © 2019, Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature. In this work we analyze the characteristics of quantum entanglement of the Dirac field in noninertial reference frames in the context of a new type pseudo-pure state, which is composed of the Bell states. This will help us to understand the relationship between the relativity and quantum information theory. Some states will be changed from entangled states into separable ones around the critical value F = 1/4, but there is no such a critical value for the variable y related to acceleration a. We find that the negativity NABI(ρABITA) increases with F but decreases with the variable y, while the variation of the negativity NBIBII(ρBIBIITBI) is opposite to that of the negativity NABI(ρABITA). We also study the von Neumann entropies S(ρAB I ) and S(ρB I B II ). We find that the S(ρAB I ) increases with variable y but S(ρBIBII) is independent of it. However, both S(ρAB I ) and S(ρB I B II ) first decreases with F and then increases with it. The concurrences C(ρAB I ) and C(ρB I B II ) are also discussed. We find that the former decreases with y while the latter increases with y but both of them first increase with F and then decrease with it.

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