{"title":"Polygamy relations for tripartite and multipartite quantum systems","authors":"Yanying Liang, Haozhen Situ, Zhu-Jun Zheng","doi":"10.1007/s11128-024-04597-2","DOIUrl":null,"url":null,"abstract":"<div><p>We study the polygamy property in tripartite and multipartite quantum systems. In tripartite system, we build a solution set for polygamy in tripartite system and find a sufficient and necessary condition of the set for continuous measure of quantum correlation <i>Q</i> to be polygamous. In multipartite system, we provide generalized definitions for polygamy in <i>n</i>-qubit systems with <span>\\(n\\ge 4\\)</span>, and then, we build polygamy inequalities with a polygamy power <span>\\(\\beta \\)</span>. Next we also describe that any entanglement of assistance can be polygamy according to our new definition in multipartite systems. For better understanding, we use right triangle and tetrahedron to explain our new polygamy relations. Moreover, the polygamy relations between each single qubit and its remaining partners are also investigated to enrich our results.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"23 12","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Information Processing","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11128-024-04597-2","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
We study the polygamy property in tripartite and multipartite quantum systems. In tripartite system, we build a solution set for polygamy in tripartite system and find a sufficient and necessary condition of the set for continuous measure of quantum correlation Q to be polygamous. In multipartite system, we provide generalized definitions for polygamy in n-qubit systems with \(n\ge 4\), and then, we build polygamy inequalities with a polygamy power \(\beta \). Next we also describe that any entanglement of assistance can be polygamy according to our new definition in multipartite systems. For better understanding, we use right triangle and tetrahedron to explain our new polygamy relations. Moreover, the polygamy relations between each single qubit and its remaining partners are also investigated to enrich our results.
期刊介绍：
Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
