Volume 129, Number 4, February 2020
|Number of page(s)||6|
|Published online||11 March 2020|
Quantum coherence of multipartite W-state in a Schwarzschild spacetime
Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, and Department of Physics, Hunan Normal University Changsha 410081, China
Received: 19 November 2019
Accepted: 18 February 2020
We study the quantum coherence and monogamy relationship of a tripartite W-state entangled system for Dirac fields in the background of a Schwarzschild black hole. We find that quantum coherence first decreases and then shows the phenomenon of freezing with the growth of the Hawking temperature. We also find that the l1 norm of coherence is always equal to the sum of coherence of all bipartite systems for any Hawking temperature, while a similar monogamy relationship for the relative entropy of coherence is absent. Moreover, we extend the related investigations to the N-partite W-state systems. It is shown that a similar monogamy relationship for the l1 norm of coherence is still satisfied, and the phenomenon of coherence freezing also exists.
PACS: 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics / 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 04.62.+v – Quantum fields in curved spacetime
© EPLA, 2020
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