 Clifford group (quantum computing)

The group of unitary Clifford gates, defined by normalization of the Pauli group. For a single qubit, $H$ and $S$ generate its usual finite gate group, and modulo global phase its action permutes the six Pauli eigenstates. On multiple qubits, one adds an entangling controlled-NOT gate. This quantum-computing use of the name is distinct from groups attached to a general Clifford algebra.