Pauli group

Pauli group

The Pauli group G_1 on 1 qubit is the group consisting of I and all the Pauli matrices X=sigma_1, Y=sigma_2, Z=sigma_3, together with multiplicative factors pm1,pm i. It is the group generated by the Pauli matrices under matrix multiplication: :G_1 stackrel{mathrm{def{=} {pm I,pm iI,pm X,pm iX,pm Y,pm iY,pm Z,pm iZ} equiv langle X, Y, Z angle

See also

* Quaternion group
* Viergruppe

References

*


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