116 lines
2.5 KiB
Plaintext
116 lines
2.5 KiB
Plaintext
---
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title: SXdgGate
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description: API reference for qiskit.circuit.library.SXdgGate
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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.SXdgGate
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---
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# SXdgGate
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<Class id="qiskit.circuit.library.SXdgGate" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.20/qiskit/circuit/library/standard_gates/sx.py" signature="SXdgGate(label=None)" modifiers="class">
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Bases: `qiskit.circuit.gate.Gate`
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The inverse single-qubit Sqrt(X) gate.
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$$
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\begin{split}\sqrt{X}^{\dagger} = \frac{1}{2} \begin{pmatrix}
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1 - i & 1 + i \\
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1 + i & 1 - i
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\end{pmatrix}\end{split}
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$$
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<Admonition title="Note" type="note">
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A global phase difference exists between the definitions of $RX(-\pi/2)$ and $\sqrt{X}^{\dagger}$.
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$$
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\begin{split}RX(-\pi/2) = \frac{1}{\sqrt{2}} \begin{pmatrix}
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1 & i \\
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i & 1
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\end{pmatrix}
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= e^{-i pi/4} \sqrt{X}^{\dagger}\end{split}
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$$
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</Admonition>
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Create new SXdg gate.
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## Methods Defined Here
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### inverse
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<Function id="qiskit.circuit.library.SXdgGate.inverse" signature="SXdgGate.inverse()">
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Return inverse SXdg gate (i.e. SX).
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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.SXdgGate.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.SXdgGate.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.SXdgGate.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.SXdgGate.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.SXdgGate.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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### name
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<Attribute id="qiskit.circuit.library.SXdgGate.name">
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Return the name.
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</Attribute>
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### num\_clbits
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<Attribute id="qiskit.circuit.library.SXdgGate.num_clbits">
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Return the number of clbits.
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</Attribute>
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### num\_qubits
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<Attribute id="qiskit.circuit.library.SXdgGate.num_qubits">
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Return the number of qubits.
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</Attribute>
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### params
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<Attribute id="qiskit.circuit.library.SXdgGate.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.SXdgGate.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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