quantum gate directory
Double CX
Symbol
$\mathrm{DC}X$
Description:
Two back-to-back CNOTs with alternating control and target qubits.
Alternate notations:
- $\mathrm{DCNOT}$
SDK Support
| SDK | Name |
|---|---|
| Qiskit |
qiskit.circuit.library.DCXGate
|
| PennyLane | — |
| Cirq | — |
| Q# | — |
| PyQuil | — |
| Braket | — |
| BQSKit | — |
Groups
This gate is contained in the following groups:
The DCNOT gate applies a CNOT from qubit 1 to 2 and then a CNOT from qubit 2 to 1.
$$ \mathrm{DC}X = \begin{bmatrix} 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 \end{bmatrix} $$
Properties
- A two-qubit Clifford gate built from two CNOTs.
- Not symmetric under permuatation of qubits.
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