{"title":"A New Quantum Correlation Measure Induced by Projection Measurement","authors":"Junqing Li, Shuo Dong, Jianhua Wei","doi":"10.1007/s10773-024-05865-8","DOIUrl":null,"url":null,"abstract":"<div><p>Quantum correlation is a concept in quantum mechanics that describes the correlation between multiple quantum systems or subsystems. It reflects the interdependence between different parts of a quantum state. As an important physical quantity, entropy plays a significant role in the study of quantum correlation, motivated by this idea, we introduce a correlation measure based on the logical entropy, and prove it satisfies the necessary conditions of the given correlation measure, including nonnegativity, invariance under local unitary transformations, adding the auxiliary subsystem correlation measure remains the same. In the end, we obtained the bound of the given correlation measure.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-12-23","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/s10773-024-05865-8","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
Quantum correlation is a concept in quantum mechanics that describes the correlation between multiple quantum systems or subsystems. It reflects the interdependence between different parts of a quantum state. As an important physical quantity, entropy plays a significant role in the study of quantum correlation, motivated by this idea, we introduce a correlation measure based on the logical entropy, and prove it satisfies the necessary conditions of the given correlation measure, including nonnegativity, invariance under local unitary transformations, adding the auxiliary subsystem correlation measure remains the same. In the end, we obtained the bound of the given correlation measure.
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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