{"title":"Practical approach for detecting k-nonseparability of multipartite quantum states","authors":"Jie Guo, Jinchuan Hou, Xiaofei Qi, Kan He","doi":"10.1007/s11433-024-2497-7","DOIUrl":null,"url":null,"abstract":"<div><p>The instantaneous detection of entanglement in quantum states poses a significant challenge in the fields of quantum computation and quantum information, and there are no practical methods or tools to complete this task satisfactorily so far. We propose a sufficient and necessary criterion of <i>k</i>-nonseparability for any <i>n</i>-partite finite or infinite dimensional systems, 2 ≤ <i>k</i> ≤ <i>n</i>. This criterion serves as the foundation for a practical scheme designed to detect entanglement and <i>k</i>-nonseparability across multipartite finite-dimensional systems. To exemplify the application of our scheme, we have developed a software tool that facilitates swift and precise identification of entanglement, <i>k</i>-nonseparability, and genuine entanglement within <i>n</i>-qubit systems, specifically tailored for systems with 2 ≤ <i>n</i> ≤ 4.</p></div>","PeriodicalId":774,"journal":{"name":"Science China Physics, Mechanics & Astronomy","volume":"68 1","pages":""},"PeriodicalIF":6.4000,"publicationDate":"2024-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science China Physics, Mechanics & Astronomy","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11433-024-2497-7","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The instantaneous detection of entanglement in quantum states poses a significant challenge in the fields of quantum computation and quantum information, and there are no practical methods or tools to complete this task satisfactorily so far. We propose a sufficient and necessary criterion of k-nonseparability for any n-partite finite or infinite dimensional systems, 2 ≤ k ≤ n. This criterion serves as the foundation for a practical scheme designed to detect entanglement and k-nonseparability across multipartite finite-dimensional systems. To exemplify the application of our scheme, we have developed a software tool that facilitates swift and precise identification of entanglement, k-nonseparability, and genuine entanglement within n-qubit systems, specifically tailored for systems with 2 ≤ n ≤ 4.
量子态纠缠的瞬时检测是量子计算和量子信息领域的一项重大挑战，迄今为止还没有令人满意地完成这项任务的实用方法或工具。我们提出了一个针对任何 n 部分有限维或无限维系统（2 ≤ k ≤ n）的 k 不可分割性的充分和必要准则，该准则是设计用于检测多部分有限维系统中的纠缠和 k 不可分割性的实用方案的基础。为了举例说明我们方案的应用，我们开发了一个软件工具，可以快速精确地识别 n 量子位系统中的纠缠、k 不可分性和真正的纠缠，特别适合 2 ≤ n ≤ 4 的系统。
期刊介绍：
Science China Physics, Mechanics & Astronomy, an academic journal cosponsored by the Chinese Academy of Sciences and the National Natural Science Foundation of China, and published by Science China Press, is committed to publishing high-quality, original results in both basic and applied research.
Science China Physics, Mechanics & Astronomy, is published in both print and electronic forms. It is indexed by Science Citation Index.
Categories of articles:
Reviews summarize representative results and achievements in a particular topic or an area, comment on the current state of research, and advise on the research directions. The author’s own opinion and related discussion is requested.
Research papers report on important original results in all areas of physics, mechanics and astronomy.
Brief reports present short reports in a timely manner of the latest important results.
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