iSwapGate¶

class iSwapGate[source]¶

Bases: qiskit.circuit.gate.Gate

iSWAP gate.

A 2-qubit XX+YY interaction. This is a Clifford and symmetric gate. Its action is to swap two qubit states and phase the \(|01\rangle\) and \(|10\rangle\) amplitudes by i.

Circuit Symbol:

q_0: ─⨂─
      │
q_1: ─⨂─

Reference Implementation:

     ┌───┐┌───┐     ┌───┐
q_0: ┤ S ├┤ H ├──■──┤ X ├─────
     ├───┤└───┘┌─┴─┐└─┬─┘┌───┐
q_1: ┤ S ├─────┤ X ├──■──┤ H ├
     └───┘     └───┘     └───┘

Matrix Representation:

\[\begin{split}iSWAP = R_{XX+YY}(-\frac{\pi}{2}) = exp(i \frac{\pi}{4} (X{\otimes}X+Y{\otimes}Y)) = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 0 & i & 0 \\ 0 & i & 0 & 0 \\ 0 & 0 & 0 & 1 \end{pmatrix}\end{split}\]

This gate is equivalent to a SWAP up to a diagonal.

\[\begin{split}iSWAP = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 \end{pmatrix} . \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & i & 0 & 0 \\ 0 & 0 & i & 0 \\ 0 & 0 & 0 & 1 \end{pmatrix}\end{split}\]

Create new iSwap gate.

Attributes

decompositions¶: Get the decompositions of the instruction from the SessionEquivalenceLibrary.

definition¶: Return definition in terms of other basic gates.

duration¶: Get the duration.

label¶

Return instruction label

Return type: str

params¶: return instruction params.

unit¶: Get the time unit of duration.