What is the controlled-controlled-W gate?

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What is the controlled-controlled-W gate?

The controlled-controlled-W gate, also known as the Toffoli gate, is a three-qubit gate in quantum computing. It performs a controlled-NOT (CNOT) operation on the third qubit (target qubit) if and only if both the first and second qubits (control qubits) are in the state |1⟩. If the control qubits are in the state |0⟩, the target qubit remains unchanged. The gate is named after Tommaso Toffoli, who introduced it in 1980.