Pauli group

'''Pauli group''' $\backslash mathcal\{P\}\_n$ for $n$ qubits is the group consisting of $n$-fold tensor products of Pauli matrices $I$, $X$, $Y$, and $Z$ . along with multiplicative factors $\backslash pm\; 1,\; \backslash pm\; i$ with matrix multiplication as a group operation. NielsenChuang In particular for one qubit system we have $\backslash mathcal\{P\}\_1\; =\; \backslash left\backslash \{\; \backslash pm\; I,\; \backslash pm\; i\; I,\; \backslash pm\; X,\; \backslash pm\; i\; X,\; \backslash pm\; Y,\; \backslash pm\; i\; Y,\; \backslash pm\; Z,\; \backslash pm\; i\; Z\; \backslash right\backslash \}$. [[Category:Mathematical Structure]]