{"title":"Efficient swap test method for enhanced multipartite entanglement quantification","authors":"Yitian Wang , Qing-yu Cai","doi":"10.1016/j.physleta.2025.130416","DOIUrl":null,"url":null,"abstract":"<div><div>Measuring entanglement in multipartite quantum systems remains a challenging open question. This paper introduces a novel approach to quantitatively assess multipartite entanglement, employing a modified version of the swap test method. Our technique significantly improves measurement efficiency, requiring only <span><math><mi>O</mi><mo>(</mo><mn>1</mn><mo>/</mo><msup><mrow><mi>ϵ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></math></span> measurements to achieve a desired precision <em>ϵ</em> for an <em>n</em>-qubit quantum state. This is a substantial improvement over existing methods, which typically require <span><math><mi>O</mi><mo>(</mo><msup><mrow><mn>2</mn></mrow><mrow><mn>2</mn><mo>(</mo><mi>n</mi><mo>−</mo><msup><mrow><mi>n</mi></mrow><mrow><mo>′</mo></mrow></msup><mo>)</mo></mrow></msup><mo>/</mo><msup><mrow><mi>ϵ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></math></span> and <span><math><mi>O</mi><mo>(</mo><mn>1</mn><mo>/</mo><msup><mrow><mi>ϵ</mi></mrow><mrow><mn>5</mn></mrow></msup><mo>)</mo></math></span> measurements. Additionally, we explore the potential for further reducing measurement demands in specific multipartite scenarios. This advancement opens new avenues for efficient entanglement evaluation in complex quantum systems.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"541 ","pages":"Article 130416"},"PeriodicalIF":2.3000,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0375960125001963","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Measuring entanglement in multipartite quantum systems remains a challenging open question. This paper introduces a novel approach to quantitatively assess multipartite entanglement, employing a modified version of the swap test method. Our technique significantly improves measurement efficiency, requiring only measurements to achieve a desired precision ϵ for an n-qubit quantum state. This is a substantial improvement over existing methods, which typically require and measurements. Additionally, we explore the potential for further reducing measurement demands in specific multipartite scenarios. This advancement opens new avenues for efficient entanglement evaluation in complex quantum systems.
期刊介绍:
Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.