Pauli group

Pauli group 𝒫n for n qubits is the group consisting of n-fold tensor products of Pauli matrices I, X, Y, and Z I=(1amp;00amp;1),X=(0amp;11amp;0),Y=(0amp;iiamp;0),Z=(1amp;00amp;1). along with multiplicative factors ±1, ±i with matrix multiplication as a group operation. NielsenChuang

In particular for one qubit system we have

𝒫1 = {±I, ±iI, ±X, ±iX, ±Y, ±iY, ±Z, ±iZ}.

Category:Mathematical Structure

Last modified: 

Monday, October 26, 2015 - 17:56