Quantum Computing Questions
The controlled-controlled-controlled-S gate, also known as the Toffoli gate or the CCX gate, is a three-qubit gate in quantum computing. It performs a controlled operation on the third qubit (target qubit) if and only if both the first and second qubits (control qubits) are in the state |1⟩. Otherwise, it leaves the target qubit unchanged. The gate is represented by the matrix:
|1 0 0 0 0 0 0 0|
|0 1 0 0 0 0 0 0|
|0 0 1 0 0 0 0 0|
|0 0 0 1 0 0 0 0|
|0 0 0 0 1 0 0 0|
|0 0 0 0 0 1 0 0|
|0 0 0 0 0 0 0 1|
|0 0 0 0 0 0 1 0|