172 lines
3.9 KiB
Plaintext
172 lines
3.9 KiB
Plaintext
---
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title: CZGate
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description: API reference for qiskit.circuit.library.CZGate
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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.CZGate
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---
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# CZGate
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<Class id="qiskit.circuit.library.CZGate" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.22/qiskit/circuit/library/standard_gates/z.py" signature="CZGate(label=None, ctrl_state=None)" modifiers="class">
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Bases: [`qiskit.circuit.controlledgate.ControlledGate`](qiskit.circuit.ControlledGate "qiskit.circuit.controlledgate.ControlledGate")
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Controlled-Z gate.
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This is a Clifford and symmetric gate.
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Can be applied to a [`QuantumCircuit`](qiskit.circuit.QuantumCircuit "qiskit.circuit.QuantumCircuit") with the [`cz()`](qiskit.circuit.QuantumCircuit#cz "qiskit.circuit.QuantumCircuit.cz") method.
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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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**Matrix representation:**
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$$
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\begin{split}CZ\ q_0, q_1 =
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I \otimes |0\rangle\langle 0| + Z \otimes |1\rangle\langle 1| =
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\begin{pmatrix}
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1 & 0 & 0 & 0 \\
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0 & 1 & 0 & 0 \\
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0 & 0 & 1 & 0 \\
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0 & 0 & 0 & -1
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\end{pmatrix}\end{split}
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$$
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In the computational basis, this gate flips the phase of the target qubit if the control qubit is in the $|1\rangle$ state.
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Create new CZ gate.
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## Methods Defined Here
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### inverse
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<Function id="qiskit.circuit.library.CZGate.inverse" signature="CZGate.inverse()">
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Return inverted CZ gate (itself).
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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.CZGate.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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### ctrl\_state
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<Attribute id="qiskit.circuit.library.CZGate.ctrl_state">
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Return the control state of the gate as a decimal integer.
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**Return type**
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`int`
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</Attribute>
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### decompositions
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<Attribute id="qiskit.circuit.library.CZGate.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.CZGate.definition">
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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.
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**Return type**
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`List`
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</Attribute>
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### duration
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<Attribute id="qiskit.circuit.library.CZGate.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.CZGate.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.CZGate.name">
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Get name of gate. If the gate has open controls the gate name will become:
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> \<original\_name\_o\<ctrl\_state>
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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.
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**Return type**
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`str`
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</Attribute>
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### num\_clbits
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<Attribute id="qiskit.circuit.library.CZGate.num_clbits">
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Return the number of clbits.
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</Attribute>
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### num\_ctrl\_qubits
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<Attribute id="qiskit.circuit.library.CZGate.num_ctrl_qubits">
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Get number of control qubits.
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**Returns**
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The number of control qubits for the gate.
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**Return type**
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int
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</Attribute>
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### num\_qubits
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<Attribute id="qiskit.circuit.library.CZGate.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.CZGate.params">
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Get parameters from base\_gate.
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**Returns**
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List of gate parameters.
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**Return type**
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list
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**Raises**
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**CircuitError** – Controlled gate does not define a base gate
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</Attribute>
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### unit
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<Attribute id="qiskit.circuit.library.CZGate.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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