{"title":"Deterministic all-versus-nothing proofs of bell nonlocality induced from qudit non-stabilizer states","authors":"","doi":"10.1016/j.physleta.2024.129908","DOIUrl":null,"url":null,"abstract":"<div><p>Recently, a type of deterministic all-versus-nothing proofs of Bell nonlocality, induced from qubit non-stabilizer states, was proposed, diverging from the tradition where such proofs are typically derived from stabilizer states. Moreover, through the application of a specific map, one can derive certain trivial (dimensionally reducible) versions of such proofs for qudits (<em>d</em> being even). Nevertheless, it remains unknown whether high-dimensional non-stabilizer states can induce nontrivial deterministic all-versus-nothing proofs of Bell nonlocality. In this study, we provide an example induced from a specific four-qudit non-stabilizer state (with <span><math><mi>d</mi><mo>=</mo><mn>4</mn></math></span>), demonstrating the feasibility of constructing such proofs in high-dimensional scenarios.</p></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":null,"pages":null},"PeriodicalIF":2.3000,"publicationDate":"2024-09-13","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/S0375960124006029","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
Recently, a type of deterministic all-versus-nothing proofs of Bell nonlocality, induced from qubit non-stabilizer states, was proposed, diverging from the tradition where such proofs are typically derived from stabilizer states. Moreover, through the application of a specific map, one can derive certain trivial (dimensionally reducible) versions of such proofs for qudits (d being even). Nevertheless, it remains unknown whether high-dimensional non-stabilizer states can induce nontrivial deterministic all-versus-nothing proofs of Bell nonlocality. In this study, we provide an example induced from a specific four-qudit non-stabilizer state (with ), demonstrating the feasibility of constructing such proofs in high-dimensional scenarios.
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.
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