{"title":"Inertia Sets of Three-qubit Entanglement Witnesses","authors":"Qianying Yu, Lin Chen, Mengfan Liang","doi":"10.1007/s10773-025-05956-0","DOIUrl":null,"url":null,"abstract":"<div><p>Mutiqubit entanglement witnesses are essential in the verification of quantum entanglement of distributed systems. To characterize such witnesses, we investigate the inertia set of three partial transposed matrices of three-qubit entangled states, which are not positive semidefinite. Theoretically, there are totally 165 elements in the set, and we show some of them by constructing exactly their expressions. Our method relies on both theoretical analysis and program for numerical computing. We also apply our results to describe some physical systems from flavor neutrino systems.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 4","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-025-05956-0","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Mutiqubit entanglement witnesses are essential in the verification of quantum entanglement of distributed systems. To characterize such witnesses, we investigate the inertia set of three partial transposed matrices of three-qubit entangled states, which are not positive semidefinite. Theoretically, there are totally 165 elements in the set, and we show some of them by constructing exactly their expressions. Our method relies on both theoretical analysis and program for numerical computing. We also apply our results to describe some physical systems from flavor neutrino systems.
期刊介绍：
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.
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