{"title":"Realignment-based separability criteria and lower bounds of entanglement","authors":"Yu Lu, Zhong-Xi Shen, Shao-Ming Fei, Zhi-Xi Wang","doi":"10.1007/s11128-025-04758-x","DOIUrl":null,"url":null,"abstract":"<div><p>The detection of entanglement is a crucial issue in quantum information science. Based on the realignment of density matrices and the vectorization of the reduced density matrices, we introduce a set of new separability criteria. These separability criteria detect more entanglement than the corresponding existing ones. Moreover, we provide new criteria for detecting the genuine tripartite entanglement and lower bounds for the concurrence and convex-roof extended negativity. The advantages of results are demonstrated through detailed examples.\n\n</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2025-05-13","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/s11128-025-04758-x","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
The detection of entanglement is a crucial issue in quantum information science. Based on the realignment of density matrices and the vectorization of the reduced density matrices, we introduce a set of new separability criteria. These separability criteria detect more entanglement than the corresponding existing ones. Moreover, we provide new criteria for detecting the genuine tripartite entanglement and lower bounds for the concurrence and convex-roof extended negativity. The advantages of results are demonstrated through detailed examples.
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.