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Twist-teleportation-based local discrimination of maximally entangled states

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Abstract

In this work, we study the local distinguishability of maximally entangled states (MESs). In particular, we are concerned with whether any fixed number of MESs can be locally distinguishable for sufficiently large dimensions. Fan and Tian et al. have already obtained two satisfactory results for the generalized Bell states (GBSs) and the qudit lattice states when applied to prime or prime power dimensions. We construct a general twist-teleportation scheme for any orthonormal basis with MESs that is inspired by the method used in [Phys. Rev. A 70, 022304 (2004)]. Using this teleportation scheme, we obtain a sufficient and necessary condition for one-way distinguishable sets of MESs, which include the GBSs and the qudit lattice states as special cases. Moreover, we present a generalized version of the results in [Phys. Rev. A 92, 042320 (2015)] for the arbitrary dimensional case.

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Authors and Affiliations

  1. Department of Physics, Southern University of Science and Technology, Shenzhen, 518055, China

    Mao-Sheng Li

  2. Department of Physics, University of Science and Technology of China, Hefei, 230026, China

    Mao-Sheng Li

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

    Shao-Ming Fei

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

    Shao-Ming Fei

  5. Department of Mathematics, South China University of Technology, Guangzhou, 510640, China

    Zong-Xing Xiong

  6. School of Computer Science and Network Security, Dongguan University of Technology, Dongguan, 523808, China

    Yan-Ling Wang

Authors
  1. Mao-Sheng Li
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  2. Shao-Ming Fei
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  3. Zong-Xing Xiong
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  4. Yan-Ling Wang
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Correspondence to Shao-Ming Fei or Yan-Ling Wang.

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Li, MS., Fei, SM., Xiong, ZX. et al. Twist-teleportation-based local discrimination of maximally entangled states. Sci. China Phys. Mech. Astron. 63, 280312 (2020). https://doi.org/10.1007/s11433-020-1562-4

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