可接受的因果结构和相关性

IF 11 Q1 PHYSICS, APPLIED
Eleftherios-Ermis Tselentis, Ämin Baumeler
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引用次数: 3

摘要

众所周知,如果假设量子理论在局部成立,那么具有不定因果顺序和循环因果结构的过程就变得可行。在这里,我们研究了局部量子理论对因果结构和相关性的定性限制。我们发现了一个必要的图论准则——“环上兄弟”性质——一个因果结构是可接受的:只有这样的因果结构才承认与局部量子理论一致的实现。我们推测这个性质是进一步充分的。这一猜想是由量子因果模型的明确构建所激发的,并得到数值计算的支持。我们表明,这些因果模型,在一个有限的设置,确实是一致的。我们确定了两组因果结构,在经典决定论的情况下,分别禁止和产生非因果关系。根据知识共享署名4.0国际许可协议,美国物理学会doi:https://doi.org/10.1103/PRXQuantum.4.040307Published。这项工作的进一步分发必须保持作者的归属和已发表文章的标题,期刊引用和DOI。发表于美国物理学会物理学科标题(PhySH)研究领域:广义相对论;计算物理学;量子通信;量子控制;量子信息中的量子关联;量子关联;基础与形式化;量子基础;量子引力;量子网络;相对论性量子信息;时空拓扑与因果结构
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Admissible Causal Structures and Correlations

Admissible Causal Structures and Correlations
It is well known that if one assumes quantum theory to hold locally, then processes with indefinite causal order and cyclic causal structures become feasible. Here we study qualitative limitations on causal structures and correlations imposed by local quantum theory. We find a necessary graph-theoretic criterion—the “siblings-on-cycles” property—for a causal structure to be admissible: only such causal structures admit a realization consistent with local quantum theory. We conjecture that this property is moreover sufficient. This conjecture is motivated by an explicit construction of quantum causal models, and is supported by numerical calculations. We show that these causal models, in a restricted setting, are indeed consistent. We identify two sets of causal structures that, in the classical-deterministic case, forbid and give rise to noncausal correlations, respectively.Received 17 January 2023Accepted 8 September 2023DOI:https://doi.org/10.1103/PRXQuantum.4.040307Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasGeneral relativityPhysics of computationQuantum communicationQuantum controlQuantum correlations in quantum informationQuantum correlations, foundations & formalismQuantum foundationsQuantum gravityQuantum networksRelativistic quantum informationSpacetime topology & causal structureQuantum Information, Science & TechnologyInterdisciplinary PhysicsGravitation, Cosmology & Astrophysics
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CiteScore
14.60
自引率
0.00%
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