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Sudden change of local quantum uncertainty and geometry for arbitrary two-qubit X-states

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Abstract

Local quantum uncertainty (LQU) as a reliable measure of nonclassical correlations has been recently proposed by Girolami et al. (Phys Rev Lett 110:240402, 2013). In this paper, we have derived an explicit analytical expression of LQU and presented the level surfaces of constant LQU for a class of two-qubit X-states beyond Bell-diagonal states. The dynamical behavior of quantum correlations via the LQU under decoherence environment is studied, and the phenomenon of a sudden change of LQU is demonstrated. Our results are illustrated through the action of different noisy environments individually on a single qubit of quantum system where there is a necessary condition for the occurrence of sudden change of LQU.

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Acknowledgements

This work is supported by the Scientific Research Project of Hunan Province Department of Education (Grant Nos. 19B060, 18A373 and 19C0539), the Project of Science and Technology Plan of Changsha (kc1809023) and the Start-up Funds for Talent Introduction and Scientific Research of Changsha University 2015 (Grant No. SF1504). Y N Guo is supported by Training Program for Excellent Young Innovators of Changsha (kq1905005).

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Authors and Affiliations

  1. School of Electronic Information and Electrical Engineering, Changsha University, Changsha, 410022, Hunan, People’s Republic of China

    You-neng Guo, Hu-ping Peng & Ke Zeng

  2. College of Science, Hunan University of Technology, Zhuzhou, 412007, Hunan, China

    Guo-you Wang

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  1. You-neng Guo
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  2. Hu-ping Peng
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Correspondence to Ke Zeng or Guo-you Wang.

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Guo, Yn., Peng, Hp., Zeng, K. et al. Sudden change of local quantum uncertainty and geometry for arbitrary two-qubit X-states . Quantum Inf Process 19, 304 (2020). https://doi.org/10.1007/s11128-020-02792-5

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