{"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}
Deterministic all-versus-nothing proofs of bell nonlocality induced from qudit non-stabilizer states
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:
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