{"title":"可接受的因果结构和相关性","authors":"Eleftherios-Ermis Tselentis, Ämin Baumeler","doi":"10.1103/prxquantum.4.040307","DOIUrl":null,"url":null,"abstract":"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","PeriodicalId":74587,"journal":{"name":"PRX quantum : a Physical Review journal","volume":"68 1","pages":"0"},"PeriodicalIF":11.0000,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Admissible Causal Structures and Correlations\",\"authors\":\"Eleftherios-Ermis Tselentis, Ämin Baumeler\",\"doi\":\"10.1103/prxquantum.4.040307\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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\",\"PeriodicalId\":74587,\"journal\":{\"name\":\"PRX quantum : a Physical Review journal\",\"volume\":\"68 1\",\"pages\":\"0\"},\"PeriodicalIF\":11.0000,\"publicationDate\":\"2023-10-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"PRX quantum : a Physical Review journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1103/prxquantum.4.040307\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"PRX quantum : a Physical Review journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1103/prxquantum.4.040307","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
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