Linear maps preserving separability of pure states

2012/10/08 by Jinchuan Hou, Hou, Jinchuan, Xiaofei Qi +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #47A80 #47B10 #47B49 #47N50 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #math.FA #math.OA #msc:47A80 #msc:47B10 #msc:47B49 #msc:47N50 #quant-ph

paper · pdf · doi:10.48550/arxiv.1210.2155

16 pages

openalex publication_date 2012/10/08 · arxiv created 2013/04/03 · arxiv updated 2013/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Quantum entanglement

Cited by

• Entanglement Generation Beyond Quantum Theory: From Product States to Popescu-Rohrlich Boxes

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