Comparison of Unitary Evolution Operator Decompositions in Quantum Systems

摘要：

The purpose of controlling a quantum system is to steer the system from an initial state to a target state. Such a control problem can be changed into the problem of generating the desired unitary evolution operators by using an appropriate decomposition. By means of the desired state’s exponential factor product theorem in the right-invariant system, the desired unitary evolution operators of a quantum system can be obtained. This paper investigates the functions and features of the Magnus decomposition, the Wei-Norman decomposition, the Lie Group decomposition and the Cartan decomposition contrastively and respectively. Properties and realization performance of those decompositions are analyzed, too. Each type of decomposition applied to different situations is also given.

关键词： quantum system the Magnus decomposition the Wei-Norman decomposition the Lie Group decomposition the Cartan decomposition

作者: Ning Dong

作者单位: Dept. of Automation, University of Science and Technology of China, Hefei, 230027, China

会议类型: 国际会议

会议名称: 2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)

会议地点: 四川绵阳

会议语种:英文

页码: 430-435

在线出版日期: 2011-05-23（万方平台首次上网日期，不代表论文的发表时间）