128 lines
2.9 KiB
Plaintext
128 lines
2.9 KiB
Plaintext
---
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title: SdgGate
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description: API reference for qiskit.circuit.library.SdgGate
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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.SdgGate
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---
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# SdgGate
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<Class id="qiskit.circuit.library.SdgGate" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.23/qiskit/circuit/library/standard_gates/s.py" signature="SdgGate(label=None)" modifiers="class">
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Bases: [`qiskit.circuit.gate.Gate`](qiskit.circuit.Gate "qiskit.circuit.gate.Gate")
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Single qubit S-adjoint gate (\~Z\*\*0.5).
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It induces a $-\pi/2$ phase.
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This is a Clifford gate and a square-root of Pauli-Z.
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Can be applied to a [`QuantumCircuit`](qiskit.circuit.QuantumCircuit "qiskit.circuit.QuantumCircuit") with the [`sdg()`](qiskit.circuit.QuantumCircuit#sdg "qiskit.circuit.QuantumCircuit.sdg") method.
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**Matrix Representation:**
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$$
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\begin{split}Sdg = \begin{pmatrix}
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1 & 0 \\
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0 & -i
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\end{pmatrix}\end{split}
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$$
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**Circuit symbol:**
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```python
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┌─────┐
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q_0: ┤ Sdg ├
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└─────┘
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```
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Equivalent to a $-\pi/2$ radian rotation about the Z axis.
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Create new Sdg gate.
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## Methods Defined Here
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### inverse
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<Function id="qiskit.circuit.library.SdgGate.inverse" signature="SdgGate.inverse()">
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Return inverse of Sdg (SGate).
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</Function>
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### power
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<Function id="qiskit.circuit.library.SdgGate.power" signature="SdgGate.power(exponent)">
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Raise gate to a power.
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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.SdgGate.condition_bits">
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Get Clbits in condition.
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**Return type**
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`List`\[[`Clbit`](qiskit.circuit.Clbit "qiskit.circuit.classicalregister.Clbit")]
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</Attribute>
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### decompositions
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<Attribute id="qiskit.circuit.library.SdgGate.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.SdgGate.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.SdgGate.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.SdgGate.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.SdgGate.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.SdgGate.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.SdgGate.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.SdgGate.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.SdgGate.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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