{"title":"纠缠理论","authors":"S. Gudder","doi":"10.12743/quanta.v9i1.115","DOIUrl":null,"url":null,"abstract":"This article presents the basis of a theory of entanglement. We begin with a classical theory of entangled discrete measures. Then, we treat quantum mechanics and discuss the statistics of bounded operators on a Hilbert space in terms of context coefficients. Finally, we combine both topics to develop a general theory of entanglement for quantum states. A measure of entanglement called the entanglement number is introduced. Although this number is related to entanglement robustness, its motivation is not the same and there are some differences. The present article only involves bipartite systems and we leave the study of multipartite systems for later work.Quanta 2020; 9: 7–15.","PeriodicalId":37613,"journal":{"name":"Quanta","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"A Theory of Entanglement\",\"authors\":\"S. Gudder\",\"doi\":\"10.12743/quanta.v9i1.115\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article presents the basis of a theory of entanglement. We begin with a classical theory of entangled discrete measures. Then, we treat quantum mechanics and discuss the statistics of bounded operators on a Hilbert space in terms of context coefficients. Finally, we combine both topics to develop a general theory of entanglement for quantum states. A measure of entanglement called the entanglement number is introduced. Although this number is related to entanglement robustness, its motivation is not the same and there are some differences. The present article only involves bipartite systems and we leave the study of multipartite systems for later work.Quanta 2020; 9: 7–15.\",\"PeriodicalId\":37613,\"journal\":{\"name\":\"Quanta\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-04-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quanta\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12743/quanta.v9i1.115\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Arts and Humanities\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quanta","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12743/quanta.v9i1.115","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Arts and Humanities","Score":null,"Total":0}
This article presents the basis of a theory of entanglement. We begin with a classical theory of entangled discrete measures. Then, we treat quantum mechanics and discuss the statistics of bounded operators on a Hilbert space in terms of context coefficients. Finally, we combine both topics to develop a general theory of entanglement for quantum states. A measure of entanglement called the entanglement number is introduced. Although this number is related to entanglement robustness, its motivation is not the same and there are some differences. The present article only involves bipartite systems and we leave the study of multipartite systems for later work.Quanta 2020; 9: 7–15.
QuantaArts and Humanities-History and Philosophy of Science
CiteScore
1.30
自引率
0.00%
发文量
5
审稿时长
12 weeks
期刊介绍:
Quanta is an open access academic journal publishing original research and review articles on foundations of quantum mechanics, mathematical physics and philosophy of science.