What is the controlled-controlled-phase gate?

Quantum Computing Questions

What is the controlled-controlled-phase gate?

The controlled-controlled-phase gate, also known as the Toffoli gate or the CCNOT gate, is a three-qubit gate in quantum computing. It performs a controlled phase flip on the target qubit if and only if both control qubits are in the state |1⟩. If either or both of the control qubits are in the state |0⟩, the target qubit remains 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|