99 lines
2.1 KiB
Plaintext
99 lines
2.1 KiB
Plaintext
---
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title: RGate
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description: API reference for qiskit.circuit.library.RGate
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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.RGate
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---
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# RGate
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<Class id="qiskit.circuit.library.RGate" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.19/qiskit/circuit/library/standard_gates/r.py" signature="RGate(theta, phi, label=None)" modifiers="class">
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Bases: `qiskit.circuit.gate.Gate`
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Rotation θ around the cos(φ)x + sin(φ)y axis.
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**Circuit symbol:**
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```python
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┌──────┐
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q_0: ┤ R(ϴ) ├
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└──────┘
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```
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**Matrix Representation:**
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$$
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\begin{align}\begin{aligned}\newcommand{\th}{\frac{\theta}{2}}\\\begin{split}R(\theta, \phi) = e^{-i \th (\cos{\phi} x + \sin{\phi} y)} =
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\begin{pmatrix}
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\cos{\th} & -i e^{-i \phi} \sin{\th} \\
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-i e^{i \phi} \sin{\th} & \cos{\th}
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\end{pmatrix}\end{split}\end{aligned}\end{align}
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$$
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Create new r single-qubit gate.
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## Methods Defined Here
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### inverse
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<Function id="qiskit.circuit.library.RGate.inverse" signature="RGate.inverse()">
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Invert this gate.
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r(θ, φ)^dagger = r(-θ, φ)
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</Function>
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## Attributes
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### condition\_bits
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<Attribute id="qiskit.circuit.library.RGate.condition_bits">
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Get Clbits in condition.
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**Return type**
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`List`\[`Clbit`]
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</Attribute>
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### decompositions
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<Attribute id="qiskit.circuit.library.RGate.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.RGate.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.RGate.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.RGate.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.RGate.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.RGate.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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