Linear maps preserving separability of pure states

TL;DR

This paper characterizes linear maps that preserve pure and separable pure states in quantum systems, providing a structural understanding and applications to affine maps.

Contribution

It offers a comprehensive characterization of linear maps preserving pure and separable pure states, extending to affine maps in multipartite quantum systems.

Findings

Characterization of linear maps preserving pure states.

Structure theorem for maps preserving separable pure states.

Application to affine maps in multipartite systems.

Abstract

Linear maps preserving pure states of a quantum system of any dimension are characterized. This is then used to establish a structure theorem for linear maps that preserve separable pure states in multipartite systems. As an application, a characterization of separable pure state preserving affine maps is obtained.