请输入您要查询的百科知识:

 

词条 Pauli group
释义

  1. References

  2. External links

In physics and mathematics, the Pauli group on 1 qubit is the 16-element matrix group consisting of the 2 × 2 identity matrix and all of the Pauli matrices

,

together with the products of these matrices with the factors and :

.

The Pauli group is generated by the Pauli matrices, and like them it is named after Wolfgang Pauli.

The Pauli group on n qubits, , is the group generated by the operators described above applied to each of qubits in the tensor product Hilbert space .

As an abstract group, is the central product of a cyclic group of order 4 and the dihedral group of order 8.[1]

References

  • {{cite book |title=Quantum Computation and Quantum Information|last1= Nielsen|first1= Michael A.|authorlink=Michael Nielsen |last2=Chuang |first2= Isaac L. |authorlink2=Isaac Chuang|year= 2000|publisher= Cambridge University Press|location= Cambridge; New York|isbn= 978-0-521-63235-5|oclc= 43641333|pages= }}

External links

1. ^Pauli group on GroupNames
{{quantum-stub}}

2 : Finite groups|Quantum information science

随便看

 

开放百科全书收录14589846条英语、德语、日语等多语种百科知识,基本涵盖了大多数领域的百科知识,是一部内容自由、开放的电子版国际百科全书。

 

Copyright © 2023 OENC.NET All Rights Reserved
京ICP备2021023879号 更新时间:2024/11/17 22:07:15