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.

中文翻译：

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基于扭曲传送的最大纠缠态的局部判别

在这项工作中，我们研究了最大纠缠态（MESs）的局部可分辨性。特别是，我们关注的是，对于足够大的尺寸，是否可以在本地区分任何固定数量的MES。范和田等。当将其应用于素数或素数幂维度时，对于广义贝尔状态（GBS）和qudit晶格态，已经获得了两个令人满意的结果。我们根据MES中的方法构造了一种适用于MES的任何正交基础的通用扭曲运输方案。A版70，022304（2004）]。使用这种隐形传态方案，我们为单向可区分的MES集（其中包括GBS和qudit晶格态作为特例）获得了充要条件。此外，我们在[Phys。修订版A 92，042320（2015）]为任意维的情况。