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A note on one-way quantum deficit and quantum discord

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Abstract

One-way quantum deficit and quantum discord are two important measures of quantum correlations. We revisit the relationship between them in two-qubit systems. We investigate the conditions that both one-way quantum deficit and quantum discord have the same optimal measurement ensembles, and demonstrate that one-way quantum deficit can be derived from the quantum discord for a class of X states. Moreover, we give an explicit relation between one-way quantum deficit and entanglement of formation. We show that under phase damping channel both one-way quantum deficit and quantum discord evolve exactly in the same way for four parameter X states. Some examples are presented in details.

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Acknowledgments

We thank the anonymous referees for their careful reading and valuable comments. This work is supported by NSFC under Number 11275131.

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Authors and Affiliations

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

    Biao-Liang Ye & Shao-Ming Fei

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

    Shao-Ming Fei

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  1. Biao-Liang Ye
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  2. Shao-Ming Fei
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Correspondence to Biao-Liang Ye.

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Ye, BL., Fei, SM. A note on one-way quantum deficit and quantum discord. Quantum Inf Process 15, 279–289 (2016). https://doi.org/10.1007/s11128-015-1180-0

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  • DOI: https://doi.org/10.1007/s11128-015-1180-0

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