Pauli group


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 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.