摘要
主要讨论单量子比特门——Pauli门的相关性质.Pauli门具有酉性和Hermite性,并且是正规算子.通过谱分解定理可以得出Pauli矩阵是可对角化的.其次通过同时对角化定理可以得出Pauli矩阵不可同时对角化.最后给出Pauli矩阵在量子计算中的应用.
This paper firstly discusses the properties of single quantum bit gate--Pauli gate. Pauli gate is an unitary matrix, a Hermite operator and a normal Normal operator as well. Secondly, by stud- ying the Spectral decomposition theorem, it is found that Pauli matrix is diagonalizable, but they are not diagonalizable at the same time. Lastly, the application of Pauli matrix in quantum computation is proposed.
出处
《兰州文理学院学报（自然科学版）》
2016年第5期1-4,106,共5页
Journal of Lanzhou University of Arts and Science(Natural Sciences)
基金
国家自然科学基金(11061032)
国家自然科学基金(1261023-G0114)
关键词
Pauli矩阵
正规算子
谱分解定理
可对角化
量子计算
Pauli matrix
normal operator
Spectral decomposition theorem
diagonalization
quantumcomputation
