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Geometric discord for multiqubit systems

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Abstract

Radhakrishnan et al. (Phys. Rev. Lett. 124:110401, 2020) proposed quantum discord to multipartite systems and derived explicit formulae for any states. These results are significant in capturing quantum correlations for multiqubit systems. In this paper, we evaluate the geometric measure of multipartite quantum discord and obtain the results for a large family of multiqubit states. Furthermore, we investigated the dynamic behavior of geometric discord for the family of two-, three- and four-qubit states under phase noise acting on the first qubit. And we discover that sudden change of multipartite geometric discord can appear when phase noise act only on one part of the two-, three- and four-qubit states.

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Data availability statement

All data generated or analyzed during this study are included in this published article.

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Acknowledgements

This work is supported by NSFC under numbers 12175147, 12075159 and 12171044, the GJJ170444, Beijing Natural Science Foundation (Z190005), Academy for Multidisciplinary Studies, Capital Normal University, Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology (No. SIQSE202001), and the Academician Innovation Platform of Hainan Province.

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Authors and Affiliations

  1. Department of Mathematics, East China University of Technology, Nanchang, 330013, China

    Chen-Lu Zhu & Bin Hu

  2. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China

    Bo Li

  3. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Zhi-Xi Wang & Shao-Ming Fei

  4. Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany

    Shao-Ming Fei

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  1. Chen-Lu Zhu
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  2. Bin Hu
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Correspondence to Bin Hu.

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Zhu, CL., Hu, B., Li, B. et al. Geometric discord for multiqubit systems. Quantum Inf Process 21, 264 (2022). https://doi.org/10.1007/s11128-022-03581-y

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