# qiskit.pulse.library.SechDeriv#

qiskit.pulse.library.SechDeriv(duration, amp, sigma, angle=0.0, name=None, limit_amplitude=None)[source]#

An unnormalized sech derivative pulse.

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

$f(x) = \text{A}\frac{d}{dx}\left[\text{sech} \left(\frac{x-\mu}{\text{sigma}}\right)\right] , 0 <= x < duration$

where $$\text{A} = \text{amp} \times\exp\left(i\times\text{angle}\right)$$, $$\mu=\text{duration}/2$$, and $$d/dx$$ is a derivative with respect to x.

Parameters:
• duration (int | ParameterExpression) â€“ Pulse length in terms of the sampling period dt.

• amp (float | ParameterExpression) â€“ The magnitude of the amplitude of the pulse (the value of the corresponding sech function at the midpoint duration/2).

• sigma (float | ParameterExpression) â€“ A measure of how wide or narrow the corresponding sech peak is, in terms of dt; described mathematically in the class docstring.

• angle (ParameterExpression | float | None) â€“ The angle in radians of the complex phase factor uniformly scaling the pulse. Default value 0.

• name (str | None) â€“ Display name for this pulse envelope.

• limit_amplitude (bool | None) â€“ 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