On the Preservers of Maximally Entangled States

TL;DR

This paper characterizes linear maps that preserve maximally entangled states in bipartite quantum systems when the dimension of one subsystem divides the other, providing insights into the structure of such preservers.

Contribution

It offers a complete characterization of linear maps preserving maximally entangled states under specific dimensional divisibility conditions.

Findings

Characterization of linear preservers of maximally entangled states

Conditions when the dimension of one subsystem divides the other

Structural description of such linear maps

Abstract

We characterize the linear maps that preserve maximally entangled states in $L(\mathcal X \otimes \mathcal Y)$ in the case where $\dim(\mathcal X)$ divides $\dim(\mathcal Y)$.