Quantum Computing Questions
The controlled-W gate, also known as the controlled-Wave gate or the controlled-Walsh gate, is a quantum gate that operates on two qubits. It is a controlled version of the W gate, which is a single-qubit gate used in quantum computing. The controlled-W gate applies the W gate to the target qubit only if the control qubit is in the state |1⟩, otherwise, it leaves the target qubit unchanged. It is commonly represented by the matrix:
|1 0 0 0|
|0 1 0 0|
|0 0 1 0|
|0 0 0 W|
where W represents the W gate matrix. The controlled-W gate is an important component in various quantum algorithms and quantum error correction codes.