Pauli group

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The Möbius–Kantor graph, the Cayley graph of the Pauli group with generators X, Y, and Z

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]


External links[edit]

  1. ^ Pauli group on GroupNames