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class qiskit.pulse.library.Gaussian(duration, amp, sigma, angle=None, name=None, limit_amplitude=None)

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Bases: object(opens in a new tab)

A lifted and truncated pulse envelope shaped according to the Gaussian function whose mean is centered at the center of the pulse (duration / 2):

f(x)=exp(12(xduration/2)2sigma2)f(x)=A×f(x)f(1)1f(1),0x<duration\begin{aligned} f'(x) &= \exp\Bigl( -\frac12 \frac{{(x - \text{duration}/2)}^2}{\text{sigma}^2} \Bigr)\\ f(x) &= \text{A} \times \frac{f'(x) - f'(-1)}{1-f'(-1)}, \quad 0 \le x < \text{duration} \end{aligned}

where f(x)f'(x) is the gaussian waveform without lifting or amplitude scaling, and A=amp×exp(i×angle)\text{A} = \text{amp} \times \exp\left(i\times\text{angle}\right).

Create new pulse instance.


  • duration – Pulse length in terms of the sampling period dt.
  • amp – The magnitude of the amplitude of the Gaussian envelope. Complex amp support is deprecated.
  • sigma – A measure of how wide or narrow the Gaussian peak is; described mathematically in the class docstring.
  • angle – The angle of the complex amplitude of the Gaussian envelope. Default value 0.
  • name – Display name for this pulse envelope.
  • limit_amplitude – If True, then limit the amplitude of the waveform to 1. The default is True and the amplitude is constrained to 1.


ScalableSymbolicPulse instance.



Default value: 'Gaussian'

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