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# qiskit.pulse.library.GaussianDeriv

qiskit.pulse.library.GaussianDeriv(duration, amp, sigma, angle=0.0, name=None, limit_amplitude=None)

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An unnormalized Gaussian derivative pulse.

The Gaussian function is centered around the halfway point of the pulse, and the envelope of the pulse is given by:

$f(x) = -\text{A}\frac{x-\mu}{\text{sigma}^{2}}\exp \left[-\left(\frac{x-\mu}{2\text{sigma}}\right)^{2}\right] , 0 <= x < duration$

where $\text{A} = \text{amp} \times\exp\left(i\times\text{angle}\right)$, and $\mu=\text{duration}/2$.

Parameters

• duration (int |ParameterExpression) – Pulse length in terms of the sampling period dt.
• amp (float |ParameterExpression) – The magnitude of the amplitude of the pulse (the value of the corresponding Gaussian at the midpoint duration/2).
• sigma (float |ParameterExpression) – A measure of how wide or narrow the corresponding Gaussian peak is in terms of dt; described mathematically in the class docstring.
• angle (ParameterExpression |float | None) – The angle in radians of the complex phase factor uniformly scaling the pulse. Default value 0.
• name (str | None) – Display name for this pulse envelope.
• limit_amplitude (bool | None) – If True, then limit the amplitude of the waveform to 1. The default is True and the amplitude is constrained to 1.

Returns

ScalableSymbolicPulse instance.

Return type

ScalableSymbolicPulse