43 lines
2.6 KiB
Plaintext
43 lines
2.6 KiB
Plaintext
---
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title: GaussianDeriv (v1.2)
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description: API reference for qiskit.pulse.library.GaussianDeriv in qiskit v1.2
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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.GaussianDeriv
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---
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<span id="qiskit-pulse-library-gaussianderiv" />
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# qiskit.pulse.library.GaussianDeriv
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<Function id="qiskit.pulse.library.GaussianDeriv" isDedicatedPage={true} github="https://github.com/Qiskit/qiskit/tree/stable/1.2/qiskit/pulse/library/symbolic_pulses.py#L1267-L1327" signature="qiskit.pulse.library.GaussianDeriv(duration, amp, sigma, angle=0.0, name=None, limit_amplitude=None)">
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An unnormalized Gaussian derivative pulse.
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The Gaussian function is centered around the halfway point of the pulse, and the envelope of the pulse is given by:
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$$
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f(x) = -\text{A}\frac{x-\mu}{\text{sigma}^{2}}\exp
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\left[-\left(\frac{x-\mu}{2\text{sigma}}\right)^{2}\right] , 0 <= x < duration
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$$
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where $\text{A} = \text{amp} \times\exp\left(i\times\text{angle}\right)$, and $\mu=\text{duration}/2$.
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**Parameters**
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* **duration** ([*int*](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)") *| ParameterValueType*) – 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 v3.13)") *|*[*ParameterExpression*](qiskit.circuit.ParameterExpression "qiskit.circuit.ParameterExpression")) – The magnitude of the amplitude of the pulse (the value of the corresponding Gaussian at the midpoint duration/2).
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* **sigma** ([*float*](https://docs.python.org/3/library/functions.html#float "(in Python v3.13)") *|*[*ParameterExpression*](qiskit.circuit.ParameterExpression "qiskit.circuit.ParameterExpression")) – A measure of how wide or narrow the corresponding Gaussian peak is in terms of dt; described mathematically in the class docstring.
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* **angle** ([*float*](https://docs.python.org/3/library/functions.html#float "(in Python v3.13)") *|*[*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 v3.13)") *| 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 v3.13)") *| 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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