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Analytical expression of quantum discord for rank-2 two-qubit states

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Abstract

Quantum correlations characterized by quantum entanglement and quantum discord play important roles in many quantum information processing. We study the relations among the entanglement of formation, concurrence, tangle, linear entropy-based classical correlation and von Neumann entropy-based classical correlation . We present analytical formulae of linear entropy-based classical correlation for arbitrary \(d\otimes 2\) quantum states and von Neumann entropy-based classical correlation for arbitrary \(2\otimes 2\) rank-2 quantum states. From the von Neumann entropy-based classical correlation, we derive an explicit formula of quantum discord for arbitrary rank-2 two-qubit quantum states.

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Acknowledgements

We thank Ming Li, Huihui Qin and Tinggui Zhang for helpful discussions. This work is supported by NSFC under numbers 11675113 and 11605083, and NSF of Beijing under No. KZ201810028042.

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Authors and Affiliations

  1. School of Mathematics and Statistics Science, Ludong University, Yantai, 264025, China

    Xue-Na Zhu

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

    Shao-Ming Fei

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

    Shao-Ming Fei & Xianqing Li-Jost

  4. School of Mathematics and Statistics, Hainan Normal University, Haikou, 571158, China

    Xianqing Li-Jost

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  1. Xue-Na Zhu
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  2. Shao-Ming Fei
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  3. Xianqing Li-Jost
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Correspondence to Shao-Ming Fei.

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Zhu, XN., Fei, SM. & Li-Jost, X. Analytical expression of quantum discord for rank-2 two-qubit states. Quantum Inf Process 17, 234 (2018). https://doi.org/10.1007/s11128-018-2007-6

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