quantum gate directory
Square Root iSWAP
Symbol
$\sqrt{i\mathrm{SWAP}}$
Description:
Applies half of an iSWAP interaction, native to superconducting hardware with $XY$ coupling.
Alternate notations:
- $\mathrm{SISWAP}$
- $\mathrm{SQISW}$
SDK Support
| SDK | Name |
|---|---|
| Qiskit | — |
| PennyLane |
pennylane.SISWAP
|
| Cirq |
cirq.SQRT_ISWAP
|
| Q# | — |
| PyQuil | — |
| Braket | — |
| BQSKit | — |
The $\sqrt{i\mathrm{SWAP}}$ gate is the square root of iSWAP: applying it twice recovers the full iSWAP gate.
$$ \sqrt{i\mathrm{SWAP}} = \begin{bmatrix} 1 & 0 & 0 & 0 \\ 0 & \frac{1}{\sqrt{2}} & \frac{i}{\sqrt{2}} & 0 \\ 0 & \frac{i}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ 0 & 0 & 0 & 1 \end{bmatrix} $$
Properties
- $(\sqrt{i\mathrm{SWAP}})^2 = i\mathrm{SWAP}$.
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