= Clifford group
{disambiguate=quantum computing}
{c}
= Clifford group
{c}
{synonym}
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>.
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