We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
52/2020
Twist-teleportation based local discrimination of maximally entangled states
Mao-Sheng Li, Zong-Xin Xiong, Yan-Ling Wang and Shao-Ming Fei
Abstract
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.
