quantum gate directory
Echoed Cross-Resonance
Symbol
$ECR$
Description:
A native two-qubit Clifford gate for cross-resonance hardware, locally equivalent to CNOT.
SDK Support
| SDK | Name |
|---|---|
| Qiskit |
qiskit.circuit.library.ECRGate
|
| PennyLane |
pennylane.ECR
ⓘ
|
| Cirq | — |
| Q# | — |
| PyQuil | — |
| Braket | — |
| BQSKit |
bqskit.ir.gates.ECRGate
|
Groups
This gate is contained in the following groups:
The echoed cross-resonance (ECR) gate is an entangling operation used on superconducting processors based on the cross-resonance interaction.
$$ ECR = \frac{1}{\sqrt{2}} \begin{pmatrix} 0 & 1 & 0 & i \\ 1 & 0 & -i & 0 \\ 0 & i & 0 & 1 \\ -i & 0 & 1 & 0 \end{pmatrix} $$
Properties
- Clifford and entangling.
- Locally equivalent to CNOT via single-qubit Clifford gates.
- Implemented using echoed cross-resonance pulses.
Usage
- Native two-qubit gate on cross-resonance superconducting devices.
- Compiled to or from CNOT in Clifford circuits.
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