Multipartite quantum coherence and monogamy for Dirac fields subject to Hawking radiation

We study the quantum coherence of Greenberger–Horne–Zeilinger-like states of multi-mode Dirac fields in the background of a Schwarzschild black hole. We find that the evolutions of both l 1 -norm of coherence and relative entropy of coherence are similar, though the two measures are not completely c...

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Bibliographic Details
Published inQuantum information processing Vol. 18; no. 10; pp. 1 - 12
Main Authors Wu, Shu-Min, Zeng, Hao-Sheng
Format Journal Article
LanguageEnglish
Published New York Springer US 01.10.2019
Springer Nature B.V
Subjects
Accessibility
Black holes
Coherence
Data Structures and Information Theory
Entropy
Hawking radiation
Mathematical Physics
Monogamy
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum phenomena
Quantum Physics
Spintronics
Hawking radiation
Monogamy
Quantum coherence
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Summary:We study the quantum coherence of Greenberger–Horne–Zeilinger-like states of multi-mode Dirac fields in the background of a Schwarzschild black hole. We find that the evolutions of both l 1 -norm of coherence and relative entropy of coherence are similar, though the two measures are not completely compatible. The accessible coherence always degrades monotonically by the Hawking effect, and the inaccessible coherence increases from zero monotonically or non-monotonically, depending on the ratio of the inaccessible to the accessible number of modes. Both the accessible and inaccessible coherences have the phenomenon of freeze. The monogamies for the l 1 -norm of coherence between the accessible and inaccessible modes are established.
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ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-019-2426-z