quantum gate directory
Clifford Group
The Clifford group is defined as all unitaries which commute with the Pauli group. This is typically specified for a given number of qubits $n$.
$$\mathcal{C}_n := \{ U\in\mathsf{U}(2^n) \mid U^\dag \mathcal{P}_n U = \mathcal{P}_n \}$$
The following gates are contained in this group: