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Multipartite coherence and monogamy relationship under the Unruh effect in an open system

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Abstract

Quantum coherence and monogamy relationship for tripartite GHZ and W states, under the influence of local amplitude-damping environments and for two accelerated observers, are studied. It is shown that environmental noise has stronger influence on quantum coherence than Unruh effect. Quantum coherence of GHZ state is symmetric with respect to all observers, which vanishes when any one of the subsystems encounters infinite dissipation, while quantum coherence of W state is asymmetric with respect to observers, which vanishes only when more than two subsystems encounter infinite dissipations. In addition, the coherence of GHZ state is completely global and there is no coherence between any bipartite subsystems, but the coherence of W state is distributed, which equals the sum of coherences between all bipartite subsystems. We also extend the investigation to the N-partite systems. We find that the coherence is a decreasing function of N for N-partite GHZ state, but an increasing function of N for N-partite W state. Similar monogamy relationships for N-partite systems are also established.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11275064, 11775075, 11434011) and the Construct Program of the National Key Discipline.

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Authors and Affiliations

  1. 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

    Shu-Min Wu, Zuo-Chen Li & Hao-Sheng Zeng

  2. Department of Physics, Liaoning Normal University, Dalian, 116029, China

    Shu-Min Wu

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  1. Shu-Min Wu
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Correspondence to Shu-Min Wu.

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Wu, SM., Li, ZC. & Zeng, HS. Multipartite coherence and monogamy relationship under the Unruh effect in an open system. Quantum Inf Process 20, 277 (2021). https://doi.org/10.1007/s11128-021-03209-7

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