{"title":"量子自动机的弱交换性","authors":"Feidan Huang, Fasheng Cao","doi":"10.1109/CTISC52352.2021.00019","DOIUrl":null,"url":null,"abstract":"Weak commutativity of quantum automata and weak commutativity of generalized quantum automata are defined. Weak commutativity of (generalized) quantum automata is discussed, and weak commutativity of general direct product, full direct product, restricted direct product, cascade product and wreath product of (generalized) quantum automata are studied, and several necessary and sufficient conditions of weak commutativity of some products of (generalized) quantum automata are obtained.","PeriodicalId":268378,"journal":{"name":"2021 3rd International Conference on Advances in Computer Technology, Information Science and Communication (CTISC)","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Weak Commutativity of Quantum Automata\",\"authors\":\"Feidan Huang, Fasheng Cao\",\"doi\":\"10.1109/CTISC52352.2021.00019\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Weak commutativity of quantum automata and weak commutativity of generalized quantum automata are defined. Weak commutativity of (generalized) quantum automata is discussed, and weak commutativity of general direct product, full direct product, restricted direct product, cascade product and wreath product of (generalized) quantum automata are studied, and several necessary and sufficient conditions of weak commutativity of some products of (generalized) quantum automata are obtained.\",\"PeriodicalId\":268378,\"journal\":{\"name\":\"2021 3rd International Conference on Advances in Computer Technology, Information Science and Communication (CTISC)\",\"volume\":\"36 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 3rd International Conference on Advances in Computer Technology, Information Science and Communication (CTISC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CTISC52352.2021.00019\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 3rd International Conference on Advances in Computer Technology, Information Science and Communication (CTISC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CTISC52352.2021.00019","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Weak commutativity of quantum automata and weak commutativity of generalized quantum automata are defined. Weak commutativity of (generalized) quantum automata is discussed, and weak commutativity of general direct product, full direct product, restricted direct product, cascade product and wreath product of (generalized) quantum automata are studied, and several necessary and sufficient conditions of weak commutativity of some products of (generalized) quantum automata are obtained.