122 lines
2.8 KiB
Plaintext
122 lines
2.8 KiB
Plaintext
---
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title: TGate
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description: API reference for qiskit.circuit.library.TGate
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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.TGate
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---
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# TGate
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<Class id="qiskit.circuit.library.TGate" isDedicatedPage={true} github="https://github.com/qiskit/qiskit/tree/stable/0.21/qiskit/circuit/library/standard_gates/t.py" signature="TGate(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 T gate (Z\*\*0.25).
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It induces a $\pi/4$ phase, and is sometimes called the pi/8 gate (because of how the RZ(pi/4) matrix looks like).
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This is a non-Clifford gate and a fourth-root of Pauli-Z.
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Can be applied to a [`QuantumCircuit`](qiskit.circuit.QuantumCircuit "qiskit.circuit.QuantumCircuit") with the [`t()`](qiskit.circuit.QuantumCircuit#t "qiskit.circuit.QuantumCircuit.t") method.
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**Matrix Representation:**
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$$
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\begin{split}T = \begin{pmatrix}
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1 & 0 \\
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0 & e^{i\pi/4}
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\end{pmatrix}\end{split}
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$$
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**Circuit symbol:**
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```python
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┌───┐
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q_0: ┤ T ├
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└───┘
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```
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Equivalent to a $\pi/4$ radian rotation about the Z axis.
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Create new T gate.
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## Methods Defined Here
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### inverse
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<Function id="qiskit.circuit.library.TGate.inverse" signature="TGate.inverse()">
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Return inverse T gate (i.e. Tdg).
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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.TGate.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.TGate.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.TGate.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.TGate.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.TGate.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.TGate.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.TGate.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.TGate.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.TGate.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.TGate.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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