43 lines
3.0 KiB
Plaintext
43 lines
3.0 KiB
Plaintext
---
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title: Triangle
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description: API reference for qiskit.pulse.library.Triangle
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in_page_toc_min_heading_level: 1
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python_api_type: function
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python_api_name: qiskit.pulse.library.Triangle
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---
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<span id="qiskit-pulse-library-triangle" />
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# qiskit.pulse.library.Triangle
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<Function id="qiskit.pulse.library.Triangle" isDedicatedPage={true} github="https://github.com/Qiskit/qiskit/tree/stable/1.1/qiskit/pulse/library/symbolic_pulses.py#L1688-L1753" signature="qiskit.pulse.library.Triangle(duration, amp, phase, freq=None, angle=0.0, name=None, limit_amplitude=None)">
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A triangle wave pulse.
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The envelope of the pulse is given by:
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$$
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f(x) = \text{A}\left[\text{sawtooth}\left(x\right)\right] , 0 <= x < duration
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$$
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where $\text{A} = \text{amp} \times\exp\left(i\times\text{angle}\right)$, and $\text{sawtooth}\left(x\right)$ is a sawtooth wave with the same frequency as the triangle wave, but a phase shifted by $\frac{\pi}{2}$.
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**Parameters**
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* **duration** ([*int*](https://docs.python.org/3/library/functions.html#int "(in Python v3.12)") *|*[*ParameterExpression*](qiskit.circuit.ParameterExpression "qiskit.circuit.ParameterExpression")) – Pulse length in terms of the sampling period dt.
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* **amp** ([*float*](https://docs.python.org/3/library/functions.html#float "(in Python v3.12)") *|*[*ParameterExpression*](qiskit.circuit.ParameterExpression "qiskit.circuit.ParameterExpression")) – The magnitude of the amplitude of the triangle wave. Wave range is \[-amp,\`amp\`].
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* **phase** ([*float*](https://docs.python.org/3/library/functions.html#float "(in Python v3.12)") *|*[*ParameterExpression*](qiskit.circuit.ParameterExpression "qiskit.circuit.ParameterExpression")) – The phase of the triangle wave (note that this is not equivalent to the angle of the complex amplitude)
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* **freq** ([*float*](https://docs.python.org/3/library/functions.html#float "(in Python v3.12)") *|*[*ParameterExpression*](qiskit.circuit.ParameterExpression "qiskit.circuit.ParameterExpression") *| None*) – The frequency of the triangle wave, in terms of 1 over sampling period. If not provided defaults to a single cycle (i.e :math:’frac\{1}\{text\{duration}}’). The frequency is limited to the range $\left(0,0.5\right]$ (the Nyquist frequency).
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* **angle** ([*float*](https://docs.python.org/3/library/functions.html#float "(in Python v3.12)") *|*[*ParameterExpression*](qiskit.circuit.ParameterExpression "qiskit.circuit.ParameterExpression") *| None*) – The angle in radians of the complex phase factor uniformly scaling the pulse. Default value 0.
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* **name** ([*str*](https://docs.python.org/3/library/stdtypes.html#str "(in Python v3.12)") *| None*) – Display name for this pulse envelope.
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* **limit\_amplitude** ([*bool*](https://docs.python.org/3/library/functions.html#bool "(in Python v3.12)") *| None*) – If `True`, then limit the amplitude of the waveform to 1. The default is `True` and the amplitude is constrained to 1.
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**Returns**
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ScalableSymbolicPulse instance.
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**Return type**
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ScalableSymbolicPulse
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</Function>
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