Enhancing some separability criteria via equiangular tight frames  

作　　者：Liang Tang Fan Wu 

机构地区：[1]School of Science,Xihua University,Chengdu 610039,China

出　　处：《Communications in Theoretical Physics》2025年第4期45-54,共10页理论物理通讯(英文版)

基　　金：supported by the Natural Science Foundation of Sichuan Province(Grant No.25QNJJ4066)。

摘　　要：Improvement of the detection ability of quantum entanglement is one of the essential tasks in quantum computing and quantum information.Finite tight frames play a fundamental role in a wide variety of areas and,generally,each application requires a specific class of frames and is closely related to quantum measurement.It is worth noting that a maximal set of complex equiangular vectors is closely related to a symmetric informationally complete measurement.Hence,our goal in this work is to propose a series of separability criteria assigned to a finite tight frame and some well-known inequalities in different quantum systems,respectively.In addition,some tighter criteria to detect entanglement for many-body quantum states are presented in arbitrary dimensions.Finally,the effectiveness of the proposed entanglement detection criteria is illustrated through some detailed examples.

关 键 词：entanglement detection separability criterion bipartite systems finite tight frames 

分 类 号：O413[理学—理论物理]