112 lines
2.5 KiB
Plaintext
112 lines
2.5 KiB
Plaintext
---
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title: iSwapGate
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description: API reference for qiskit.circuit.library.iSwapGate
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in_page_toc_min_heading_level: 1
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python_api_type: class
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python_api_name: qiskit.circuit.library.iSwapGate
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---
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# iSwapGate
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<Class id="qiskit.circuit.library.iSwapGate" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.18/qiskit/circuit/library/standard_gates/iswap.py" signature="iSwapGate" modifiers="class">
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Bases: `qiskit.circuit.gate.Gate`
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iSWAP gate.
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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.
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**Circuit Symbol:**
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```python
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q_0: ─⨂─
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│
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q_1: ─⨂─
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```
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**Reference Implementation:**
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```python
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┌───┐┌───┐ ┌───┐
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q_0: ┤ S ├┤ H ├──■──┤ X ├─────
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├───┤└───┘┌─┴─┐└─┬─┘┌───┐
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q_1: ┤ S ├─────┤ X ├──■──┤ H ├
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└───┘ └───┘ └───┘
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```
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**Matrix Representation:**
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$$
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\begin{split}iSWAP = R_{XX+YY}(-\frac{\pi}{2})
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= exp(i \frac{\pi}{4} (X{\otimes}X+Y{\otimes}Y)) =
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\begin{pmatrix}
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1 & 0 & 0 & 0 \\
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0 & 0 & i & 0 \\
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0 & i & 0 & 0 \\
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0 & 0 & 0 & 1
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\end{pmatrix}\end{split}
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$$
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This gate is equivalent to a SWAP up to a diagonal.
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$$
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\begin{split}iSWAP =
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\begin{pmatrix}
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1 & 0 & 0 & 0 \\
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0 & 0 & 1 & 0 \\
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0 & 1 & 0 & 0 \\
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0 & 0 & 0 & 1
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\end{pmatrix}
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. \begin{pmatrix}
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1 & 0 & 0 & 0 \\
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0 & i & 0 & 0 \\
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0 & 0 & i & 0 \\
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0 & 0 & 0 & 1
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\end{pmatrix}\end{split}
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$$
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Create new iSwap gate.
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## Attributes
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### decompositions
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<Attribute id="qiskit.circuit.library.iSwapGate.decompositions">
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Get the decompositions of the instruction from the SessionEquivalenceLibrary.
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</Attribute>
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### definition
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<Attribute id="qiskit.circuit.library.iSwapGate.definition">
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Return definition in terms of other basic gates.
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</Attribute>
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### duration
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<Attribute id="qiskit.circuit.library.iSwapGate.duration">
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Get the duration.
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</Attribute>
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### label
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<Attribute id="qiskit.circuit.library.iSwapGate.label">
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Return instruction label
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**Return type**
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`str`
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</Attribute>
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### params
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<Attribute id="qiskit.circuit.library.iSwapGate.params">
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return instruction params.
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</Attribute>
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### unit
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<Attribute id="qiskit.circuit.library.iSwapGate.unit">
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Get the time unit of duration.
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</Attribute>
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</Class>
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