{"title":"量子最优控制计算中的时间尺度变换","authors":"Bin Shi, Chao Xu, Rebing Wu","doi":"10.23919/CHICC.2018.8482909","DOIUrl":null,"url":null,"abstract":"The optimal control problem of the closed quantum systems can be equivalent to the parameters optimization problem of bilinear control systems. Numerical optimization techniques such as time scaling transformation are introduced to the Gradient Ascent Pulse Engineering (GRAPE) algorithm. The modified scheme can improve the fidelity, reduce the optimal evolutionary time and errors caused by the nonlinear hardware as illustrated in the numerical simulation of homonuclear optimal control.","PeriodicalId":158442,"journal":{"name":"2018 37th Chinese Control Conference (CCC)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Time Scaling Transformation in Quantum Optimal Control Computation\",\"authors\":\"Bin Shi, Chao Xu, Rebing Wu\",\"doi\":\"10.23919/CHICC.2018.8482909\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The optimal control problem of the closed quantum systems can be equivalent to the parameters optimization problem of bilinear control systems. Numerical optimization techniques such as time scaling transformation are introduced to the Gradient Ascent Pulse Engineering (GRAPE) algorithm. The modified scheme can improve the fidelity, reduce the optimal evolutionary time and errors caused by the nonlinear hardware as illustrated in the numerical simulation of homonuclear optimal control.\",\"PeriodicalId\":158442,\"journal\":{\"name\":\"2018 37th Chinese Control Conference (CCC)\",\"volume\":\"26 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.2018.8482909\",\"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.2018.8482909","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Time Scaling Transformation in Quantum Optimal Control Computation
The optimal control problem of the closed quantum systems can be equivalent to the parameters optimization problem of bilinear control systems. Numerical optimization techniques such as time scaling transformation are introduced to the Gradient Ascent Pulse Engineering (GRAPE) algorithm. The modified scheme can improve the fidelity, reduce the optimal evolutionary time and errors caused by the nonlinear hardware as illustrated in the numerical simulation of homonuclear optimal control.