# Toffoli gate a gate that uses 2 control qubits and one input qubit. It flips the input iff both control qubits are ones:$|a,b,c\rangle\rightarrow |a,b,c\oplus ab\rangle$ Properties: - $T=T^\dagger$ - $T$ permutes computational basis (convince yourself by checking its truth table) - It does not belong to [[Clifford group (quantum gates)]] ## Created 2026-02-22 12:45