{"title":"酉变换的描述复杂性","authors":"A. Kaltchenko","doi":"10.1117/12.2620457","DOIUrl":null,"url":null,"abstract":"Weintroduce the notion of descriptional complexity of nite-dimensional unitary transformations, which is closely related to the notion of Kolmogorov complexity of a quantum state. In quantum computing, quantum states are associated with quantum data, and unitary transformations of quantum states are associated with quantum computer programs.","PeriodicalId":388511,"journal":{"name":"International Conference on Micro- and Nano-Electronics","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Descriptional complexity of unitary transformations\",\"authors\":\"A. Kaltchenko\",\"doi\":\"10.1117/12.2620457\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Weintroduce the notion of descriptional complexity of nite-dimensional unitary transformations, which is closely related to the notion of Kolmogorov complexity of a quantum state. In quantum computing, quantum states are associated with quantum data, and unitary transformations of quantum states are associated with quantum computer programs.\",\"PeriodicalId\":388511,\"journal\":{\"name\":\"International Conference on Micro- and Nano-Electronics\",\"volume\":\"33 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Conference on Micro- and Nano-Electronics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1117/12.2620457\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Conference on Micro- and Nano-Electronics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1117/12.2620457","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Descriptional complexity of unitary transformations
Weintroduce the notion of descriptional complexity of nite-dimensional unitary transformations, which is closely related to the notion of Kolmogorov complexity of a quantum state. In quantum computing, quantum states are associated with quantum data, and unitary transformations of quantum states are associated with quantum computer programs.
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