Pauli group

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The Pauli group G1 on 1 qubit is the group consisting of I and all the Pauli matrices X = σ1,Y = σ2,Z = σ3, together with multiplicative factors \pm1,\pm i:

G_1 \ \stackrel{\mathrm{def}}{=}\ \{\pm I,\pm iI,\pm X,\pm iX,\pm Y,\pm iY,\pm Z,\pm iZ\}.


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