Detecting entanglement of states by entries of their density matrices

2010/10/11 by Xiaofei Qi, Qi, Xiaofei, Jinchuan Hou +1
Computer Science · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Operator Algebras (math.OA) #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.1010.2078

openalex publication_date 2010/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For any bipartite systems, a universal entanglement witness of rank-4 for pure states is obtained and a class of finite rank entanglement witnesses is constructed. In addition, a method of detecting entanglement of a state only by entries of its density matrix with respect to some product basis is obtained.

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