{"title":"单输入量子系统的可控性和直径","authors":"A. Agrachev, T. Chambrion","doi":"10.1109/PHYCON.2003.1236994","DOIUrl":null,"url":null,"abstract":"Lie groups formalism and Riemannian techniques are used to describe the attainable set at time T of left invariant single-input control systems on compact semi-simple Lie groups. This gives controllability properties and an estimation of the minimal time needed to transfer a controlled quantum system with a drift front a given initial position to a given final position.","PeriodicalId":438483,"journal":{"name":"2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)","volume":"53 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Controllability and diameter of single-input quantum systems\",\"authors\":\"A. Agrachev, T. Chambrion\",\"doi\":\"10.1109/PHYCON.2003.1236994\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Lie groups formalism and Riemannian techniques are used to describe the attainable set at time T of left invariant single-input control systems on compact semi-simple Lie groups. This gives controllability properties and an estimation of the minimal time needed to transfer a controlled quantum system with a drift front a given initial position to a given final position.\",\"PeriodicalId\":438483,\"journal\":{\"name\":\"2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)\",\"volume\":\"53 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-08-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PHYCON.2003.1236994\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PHYCON.2003.1236994","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Controllability and diameter of single-input quantum systems
Lie groups formalism and Riemannian techniques are used to describe the attainable set at time T of left invariant single-input control systems on compact semi-simple Lie groups. This gives controllability properties and an estimation of the minimal time needed to transfer a controlled quantum system with a drift front a given initial position to a given final position.