169 lines
3.9 KiB
Plaintext
169 lines
3.9 KiB
Plaintext
---
|
||
title: CSdgGate
|
||
description: API reference for qiskit.circuit.library.CSdgGate
|
||
in_page_toc_min_heading_level: 1
|
||
python_api_type: class
|
||
python_api_name: qiskit.circuit.library.CSdgGate
|
||
---
|
||
|
||
# CSdgGate
|
||
|
||
<Class id="qiskit.circuit.library.CSdgGate" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.22/qiskit/circuit/library/standard_gates/s.py" signature="CSdgGate(label=None, ctrl_state=None)" modifiers="class">
|
||
Bases: [`qiskit.circuit.controlledgate.ControlledGate`](qiskit.circuit.ControlledGate "qiskit.circuit.controlledgate.ControlledGate")
|
||
|
||
Controlled-S^dagger gate.
|
||
|
||
Can be applied to a [`QuantumCircuit`](qiskit.circuit.QuantumCircuit "qiskit.circuit.QuantumCircuit") with the [`csdg()`](qiskit.circuit.QuantumCircuit#csdg "qiskit.circuit.QuantumCircuit.csdg") method.
|
||
|
||
**Circuit symbol:**
|
||
|
||
```python
|
||
q_0: ───■───
|
||
┌──┴──┐
|
||
q_1: ┤ Sdg ├
|
||
└─────┘
|
||
```
|
||
|
||
**Matrix representation:**
|
||
|
||
$$
|
||
\begin{split}CS^\dagger \ q_0, q_1 =
|
||
I \otimes |0 \rangle\langle 0| + S^\dagger \otimes |1 \rangle\langle 1| =
|
||
\begin{pmatrix}
|
||
1 & 0 & 0 & 0 \\
|
||
0 & 1 & 0 & 0 \\
|
||
0 & 0 & 1 & 0 \\
|
||
0 & 0 & 0 & -i
|
||
\end{pmatrix}\end{split}
|
||
$$
|
||
|
||
Create new CSdg gate.
|
||
|
||
## Methods Defined Here
|
||
|
||
### inverse
|
||
|
||
<Function id="qiskit.circuit.library.CSdgGate.inverse" signature="CSdgGate.inverse()">
|
||
Return inverse of CSdgGate (CSGate).
|
||
</Function>
|
||
|
||
## Attributes
|
||
|
||
### condition\_bits
|
||
|
||
<Attribute id="qiskit.circuit.library.CSdgGate.condition_bits">
|
||
Get Clbits in condition.
|
||
|
||
**Return type**
|
||
|
||
`List`\[[`Clbit`](qiskit.circuit.Clbit "qiskit.circuit.classicalregister.Clbit")]
|
||
</Attribute>
|
||
|
||
### ctrl\_state
|
||
|
||
<Attribute id="qiskit.circuit.library.CSdgGate.ctrl_state">
|
||
Return the control state of the gate as a decimal integer.
|
||
|
||
**Return type**
|
||
|
||
`int`
|
||
</Attribute>
|
||
|
||
### decompositions
|
||
|
||
<Attribute id="qiskit.circuit.library.CSdgGate.decompositions">
|
||
Get the decompositions of the instruction from the SessionEquivalenceLibrary.
|
||
</Attribute>
|
||
|
||
### definition
|
||
|
||
<Attribute id="qiskit.circuit.library.CSdgGate.definition">
|
||
Return definition in terms of other basic gates. If the gate has open controls, as determined from self.ctrl\_state, the returned definition is conjugated with X without changing the internal \_definition.
|
||
|
||
**Return type**
|
||
|
||
`List`
|
||
</Attribute>
|
||
|
||
### duration
|
||
|
||
<Attribute id="qiskit.circuit.library.CSdgGate.duration">
|
||
Get the duration.
|
||
</Attribute>
|
||
|
||
### label
|
||
|
||
<Attribute id="qiskit.circuit.library.CSdgGate.label">
|
||
Return instruction label
|
||
|
||
**Return type**
|
||
|
||
`str`
|
||
</Attribute>
|
||
|
||
### name
|
||
|
||
<Attribute id="qiskit.circuit.library.CSdgGate.name">
|
||
Get name of gate. If the gate has open controls the gate name will become:
|
||
|
||
> \<original\_name\_o\<ctrl\_state>
|
||
|
||
where \<original\_name> is the gate name for the default case of closed control qubits and \<ctrl\_state> is the integer value of the control state for the gate.
|
||
|
||
**Return type**
|
||
|
||
`str`
|
||
</Attribute>
|
||
|
||
### num\_clbits
|
||
|
||
<Attribute id="qiskit.circuit.library.CSdgGate.num_clbits">
|
||
Return the number of clbits.
|
||
</Attribute>
|
||
|
||
### num\_ctrl\_qubits
|
||
|
||
<Attribute id="qiskit.circuit.library.CSdgGate.num_ctrl_qubits">
|
||
Get number of control qubits.
|
||
|
||
**Returns**
|
||
|
||
The number of control qubits for the gate.
|
||
|
||
**Return type**
|
||
|
||
int
|
||
</Attribute>
|
||
|
||
### num\_qubits
|
||
|
||
<Attribute id="qiskit.circuit.library.CSdgGate.num_qubits">
|
||
Return the number of qubits.
|
||
</Attribute>
|
||
|
||
### params
|
||
|
||
<Attribute id="qiskit.circuit.library.CSdgGate.params">
|
||
Get parameters from base\_gate.
|
||
|
||
**Returns**
|
||
|
||
List of gate parameters.
|
||
|
||
**Return type**
|
||
|
||
list
|
||
|
||
**Raises**
|
||
|
||
**CircuitError** – Controlled gate does not define a base gate
|
||
</Attribute>
|
||
|
||
### unit
|
||
|
||
<Attribute id="qiskit.circuit.library.CSdgGate.unit">
|
||
Get the time unit of duration.
|
||
</Attribute>
|
||
</Class>
|
||
|