Twist-teleportation based local discrimination of maximally entangled states
Mao-Sheng Li, Zong-Xin Xiong, Yan-Ling Wang, and Shao-Ming Fei
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Submission date: 08. May. 2020
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We study local distinguishability of maximally entangled states (MESs). Concerning the question whether any ﬁxed number of MESs can be locally distinguishable for suﬃcient large dimensions, Fan and Tian et al. have obtained two quite satisfactory results for generalized Bell states and qudit lattice states in the case of prime or prime power dimensions. Inspired by the method used in [Phys. Rev. A 70, 022304 (2004)], we construct a general twist-teleportation scheme for any orthonormal basis with MESs. Using this teleportation scheme, we obtain necessary and suﬃcient conditions for one-way distinguishable sets of MESs, which include the generalized Bell states and qudit lattice states as special cases. Moreover, we present a generalized version of the results in [Phys. Rev. A 92, 042320 (2015)] for arbitrary dimensional case.