# Twist-teleportation based local discrimination of maximally entangled states

## TL;DR

This paper introduces a twist-teleportation scheme to determine when maximally entangled states can be distinguished locally, extending previous results to arbitrary dimensions and providing a unified framework.

## Contribution

It develops a general twist-teleportation method for any orthonormal basis of MESs, offering a necessary and sufficient condition for local distinguishability in all dimensions.

## Key findings

- Established a necessary and sufficient condition for one-way distinguishability of MESs.
- Extended previous results to arbitrary dimensions beyond prime or prime power.
- Unified the understanding of local discrimination for various classes of MESs.

## 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 \emph{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 \textbf{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 \textbf{92}, 042320 (2015)] for the arbitrary dimensional case.