Linear maps preserving separability of pure states

被引：17

作者：

Hou, Jinchuan ^{[1
]}

Qi, Xiaofei ^{[2
]}

机构：

[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China

[2] Shanxi Univ, Dept Math, Taiyuan 030006, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 439卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Linear maps; Affine maps; Quantum states; Separability; Tensor products;

D O I：

10.1016/j.laa.2013.04.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：1245 / 1257

页数：13

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