{"title":"多量子比特系统中基于保真度的纠缠度量的更强一性关系","authors":"Zhong-Xi Shen, Kang-Kang Yang, Yu Lu, Zhi-Xi Wang, Shao-Ming Fei","doi":"10.1007/s10773-024-05677-w","DOIUrl":null,"url":null,"abstract":"<p>Monogamy of entanglement is the fundamental property and inherent nature of quantum systems. We study the monogamy properties of two fidelity based entanglement measures, the Bures measure of entanglement and the geometric measure of entanglement. Stronger monogamy relations are presented for the <span>\\(\\alpha \\)</span>th (<span>\\(\\alpha \\ge 2\\)</span>) power and the <span>\\(\\beta \\)</span>th (<span>\\(0\\le \\beta \\le \\eta , \\eta \\ge 1\\)</span>) power of these two entanglement measures. Moreover, for the case of the <span>\\(\\gamma \\)</span>th (<span>\\(\\gamma <0\\)</span>) power, we give the corresponding upper bounds for the two entanglement measures. Detailed examples are provided to illustrate that our newly established monogamy relations are stronger than the previous ones.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stronger Monogamy Relations of Fidelity Based Entanglement Measures in Multiqubit Systems\",\"authors\":\"Zhong-Xi Shen, Kang-Kang Yang, Yu Lu, Zhi-Xi Wang, Shao-Ming Fei\",\"doi\":\"10.1007/s10773-024-05677-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Monogamy of entanglement is the fundamental property and inherent nature of quantum systems. We study the monogamy properties of two fidelity based entanglement measures, the Bures measure of entanglement and the geometric measure of entanglement. Stronger monogamy relations are presented for the <span>\\\\(\\\\alpha \\\\)</span>th (<span>\\\\(\\\\alpha \\\\ge 2\\\\)</span>) power and the <span>\\\\(\\\\beta \\\\)</span>th (<span>\\\\(0\\\\le \\\\beta \\\\le \\\\eta , \\\\eta \\\\ge 1\\\\)</span>) power of these two entanglement measures. Moreover, for the case of the <span>\\\\(\\\\gamma \\\\)</span>th (<span>\\\\(\\\\gamma <0\\\\)</span>) power, we give the corresponding upper bounds for the two entanglement measures. Detailed examples are provided to illustrate that our newly established monogamy relations are stronger than the previous ones.</p>\",\"PeriodicalId\":597,\"journal\":{\"name\":\"International Journal of Theoretical Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-05-27\",\"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://doi.org/10.1007/s10773-024-05677-w\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s10773-024-05677-w","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}
Stronger Monogamy Relations of Fidelity Based Entanglement Measures in Multiqubit Systems
Monogamy of entanglement is the fundamental property and inherent nature of quantum systems. We study the monogamy properties of two fidelity based entanglement measures, the Bures measure of entanglement and the geometric measure of entanglement. Stronger monogamy relations are presented for the \(\alpha \)th (\(\alpha \ge 2\)) power and the \(\beta \)th (\(0\le \beta \le \eta , \eta \ge 1\)) power of these two entanglement measures. Moreover, for the case of the \(\gamma \)th (\(\gamma <0\)) power, we give the corresponding upper bounds for the two entanglement measures. Detailed examples are provided to illustrate that our newly established monogamy relations are stronger than the previous ones.
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.