 Controlled NOT gate

The controlled-NOT gate maps $|a,b⟩$ to $|a,b\oplus a⟩$.

A Controlled NOT gate, commonly referred to as a CNOT gate or CX gate, is an essential component in quantum computing. It is a two-qubit gate that performs a NOT operation (also known as a bit-flip) on a target qubit only when a control qubit is in the state \(|1\rangle\).