Geometric method in quantum control  

作　　者：ZHANG Jun Joint Institute of UM-SJTU,Shanghai Jiao Tong University and Key Laboratory of System Control and Information Processing,Ministry of Education,Shanghai 200240,China 

出　　处：《Chinese Science Bulletin》2012年第18期2223-2227,共5页

基　　金：supported by the Innovation Program of Shanghai Municipal Education Commission(11ZZ20);Shanghai Pujiang Program(11PJ1405800);National Natural Science Foundation of China(61174086);State Key Laboratory of Advanced Optical Communication Systems and Networks,SJTU,China

摘　　要：In this paper we survey the geometric method in quantum control.By presenting a geometric representation of nonlocal two-qubit quantum operation,we show that the control of two-qubit quantum operations can be reduced to a steering problem in a tetrahedron.Two physical examples are given to illustrate this method.We also provide analytic approaches to construct universal quantum circuit from any arbitrary quantum gate.In this paper we survey the geometric method in quantum control. By presenting a geometric representation of nonlocal two-qubit quantum operation, we show that the control of two-qubit quantum operations can be reduced to a steering problem in a tetrahedron. Two physical examples are given to illustrate this method. We also provide analytic approaches to construct universal quantum circuit from any arbitrary quantum gate.

关 键 词：量子控制 几何方法 调控 几何表示 量子比特 转向问题 量子电路 量子位 

分 类 号：O413.1[理学—理论物理]