{"title":"相干矢量公式中一量子位量子门的Lyapunov控制","authors":"Bilal Riaz, S. Cong, S. Qamar","doi":"10.23919/CHICC.2018.8482596","DOIUrl":null,"url":null,"abstract":"The design of one qubit quantum gates with Lyapunov-based method is studied in this paper. Firstly, one qubit quantum control system is described in the coherence vector formation, then two types of Lyapunov functions are selected to implement NOT gate. The performances of control laws derived from both Lyapunov functions are compared and analyzed by means of the simulations for the NOT gate implementation.","PeriodicalId":158442,"journal":{"name":"2018 37th Chinese Control Conference (CCC)","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Lyapunov Based Control for One Qubit Quantum Gates in Coherence Vector Formulation\",\"authors\":\"Bilal Riaz, S. Cong, S. Qamar\",\"doi\":\"10.23919/CHICC.2018.8482596\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The design of one qubit quantum gates with Lyapunov-based method is studied in this paper. Firstly, one qubit quantum control system is described in the coherence vector formation, then two types of Lyapunov functions are selected to implement NOT gate. The performances of control laws derived from both Lyapunov functions are compared and analyzed by means of the simulations for the NOT gate implementation.\",\"PeriodicalId\":158442,\"journal\":{\"name\":\"2018 37th Chinese Control Conference (CCC)\",\"volume\":\"25 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 37th Chinese Control Conference (CCC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/CHICC.2018.8482596\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 37th Chinese Control Conference (CCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/CHICC.2018.8482596","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Lyapunov Based Control for One Qubit Quantum Gates in Coherence Vector Formulation
The design of one qubit quantum gates with Lyapunov-based method is studied in this paper. Firstly, one qubit quantum control system is described in the coherence vector formation, then two types of Lyapunov functions are selected to implement NOT gate. The performances of control laws derived from both Lyapunov functions are compared and analyzed by means of the simulations for the NOT gate implementation.