Cartan decomposition of a two-qutrit gate

作     者：DI YaoMin ZHANG Jie WEI HaiRui 

作者机构：School of Physics&Electronic EngineeringXuzhou Normal UniversityXuzhou 221116China 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2008年第51卷第11期

页      面：1668-1676页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China (Grant No. 60433050) the Key Project of the Science Foundation of Xuzhou Normal University, China (Grant No. 06XLA05) 

主　　题：Cartan decomposition Cartan subalgebra 2-qutrit system ternary SWAP gate 

摘      要：The decomposition of matrices corresponding to the 2-qutrit logic gate by succes-sive Cartan decomposition is investigated, and written in an exponential form based on the relationship between Lie group and Lie algebra, thus making them able to relate with the control field and the Hamiltonian of the system to perform the gate. Finally the decomposition of the ternary SWAP gate is presented in detail.