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Relations between the quantum correlation entropy and quantum discord for X-states in multipartite systems

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Abstract

Observational entropy is a generalization of Boltzmann entropy to quantum mechanics. Observational entropy based on coarse-grained measurements has a certain relations with other quantum information measures. Quantum correlation entropy and quantum discord are both physical quantities used to measure quantum correlation. The former is based on local observational entropy. The latter is based on von Neumann projection measurements acting on some subsystems. We study the relations between quantum correlation entropy and quantum discord for N-partite X-states with 4-dimensional subsystems.

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Data availability

The datasets analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was supported by Guangdong Basic and Applied Basic Research Foundation under Grant No. 2020B1515310016 and Key Research and Development Project of Guang dong Province under Grant No. 2020B0303300001.

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Authors and Affiliations

  1. Department of Mathematics, South China University of Technology, Guangzhou, 510640, People’s Republic of China

    Xiang Zhou

  2. Laboratory of Quantum Science and Engineering, South China University of Technology, Guangzhou, 510641, People’s Republic of China

    Zhu-Jun Zheng

Authors
  1. Xiang Zhou
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  2. Zhu-Jun Zheng
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Correspondence to Zhu-Jun Zheng.

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Zhou, X., Zheng, ZJ. Relations between the quantum correlation entropy and quantum discord for X-states in multipartite systems. Eur. Phys. J. Plus 137, 625 (2022). https://doi.org/10.1140/epjp/s13360-022-02838-w

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  • DOI: https://doi.org/10.1140/epjp/s13360-022-02838-w

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