quantum gate directory
Controlled Not Gate
Symbol
$\mathrm{C}X$
Description:
The {{ symbol }} gate generates entanglement between two qubits.
The Hadamard gate is one of the fundamental quantum gates, enabling qubits to enter a state of superposition.
| Notation(s) | $\mathrm{C}X$, $\mathrm{CNOT}$, $\mathrm{CNOT}_{ij}$ |
| Matrix | $\begin{bmatrix}1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 \\ 0 & 0 & 1 & 0 \end{bmatrix}$ |
| Arity | 2 |
| Group | $\mathsf{U}(4)$ |
Usage
This gate is commonly used in algorithms like the Quantum Fourier Transform.
Groups
This gate is contained in the following groups:
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