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The local distinguishability of any three generalized Bell states

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Abstract

We study the problem of distinguishing maximally entangled quantum states by using local operations and classical communication (LOCC). A question of fundamental interest is whether any three maximally entangled states in \({\mathbb {C}}^d\otimes {\mathbb {C}}^d (d\ge 4)\) are distinguishable by LOCC. In this paper, we restrict ourselves to consider the generalized Bell states. And we prove that any three generalized Bell states in \({\mathbb {C}}^d\otimes {\mathbb {C}}^d (d\ge 4)\) are locally distinguishable.

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Acknowledgements

The authors thank the referees for many helpful suggestions. This work is supported by the NSFC 11475178, NSFC 11571119 and NSFC 11675113.

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Authors and Affiliations

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

    Yan-Ling Wang & Zhu-Jun Zheng

  2. Department of Mathematical of Science, Tsinghua University, Beijing, 100084, People’s Republic of China

    Mao-Sheng Li

  3. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, People’s Republic of China

    Shao-Ming Fei

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

    Shao-Ming Fei

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  1. Yan-Ling Wang
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  2. Mao-Sheng Li
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  3. Shao-Ming Fei
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  4. Zhu-Jun Zheng
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Correspondence to Yan-Ling Wang.

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Wang, YL., Li, MS., Fei, SM. et al. The local distinguishability of any three generalized Bell states. Quantum Inf Process 16, 126 (2017). https://doi.org/10.1007/s11128-017-1579-x

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  • DOI: https://doi.org/10.1007/s11128-017-1579-x

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