{"title":"完整的积极性","authors":"C. Heunen, J. Vicary","doi":"10.1093/oso/9780198739623.003.0007","DOIUrl":null,"url":null,"abstract":"Completely positive maps give a notion of quantum process that allows the description of probabilistic effects in quantum theory. We show how to describe this categorically in terms of the CP construction and contrast the behaviour of classical and quantum information in this setting. We also study the behaviour of duality and linear structure under the CP construction.","PeriodicalId":314153,"journal":{"name":"Categories for Quantum Theory","volume":"112 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Complete Positivity\",\"authors\":\"C. Heunen, J. Vicary\",\"doi\":\"10.1093/oso/9780198739623.003.0007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Completely positive maps give a notion of quantum process that allows the description of probabilistic effects in quantum theory. We show how to describe this categorically in terms of the CP construction and contrast the behaviour of classical and quantum information in this setting. We also study the behaviour of duality and linear structure under the CP construction.\",\"PeriodicalId\":314153,\"journal\":{\"name\":\"Categories for Quantum Theory\",\"volume\":\"112 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-11-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Categories for Quantum Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1093/oso/9780198739623.003.0007\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Categories for Quantum Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/oso/9780198739623.003.0007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Completely positive maps give a notion of quantum process that allows the description of probabilistic effects in quantum theory. We show how to describe this categorically in terms of the CP construction and contrast the behaviour of classical and quantum information in this setting. We also study the behaviour of duality and linear structure under the CP construction.
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