cirq.CCNOT

The Tofolli gate, also known as the Controlled-Controlled-X gate.

View aliases

Main aliases

cirq.CCX, cirq.TOFFOLI

cirq.CCNOT(
    *qubits, **kwargs
)

Used in the notebooks

Used in the tutorials
Introduction to Cirq Quantum chess Textbook algorithms in Cirq Quantum circuits on Pasqal devices Cirq basics

If the first two qubits are in the |11⟩ state, this flips the third qubit in the computational basis, otherwise this applies identity to the third qubit.

The exponent=1 instance of cirq.CCXPowGate.

The unitary matrix of this gate is (empty elements are \(0\)):

\[ \begin{bmatrix} 1 & & & & & & & \\ & 1 & & & & & & \\ & & 1 & & & & & \\ & & & 1 & & & & \\ & & & & 1 & & & \\ & & & & & 1 & & \\ & & & & & & 0 & 1 \\ & & & & & & 1 & 0 \end{bmatrix} \]

Alternative names: cirq.CCNOT and cirq.TOFFOLI.