qiskit.pulse.library.sech_deriv

sech_deriv(duration, amp, sigma, name=None)

Generates unnormalized sech derivative Waveform.

For \(A=\) amp, \(\sigma=\) sigma, and center \(\mu=\) duration/2, applies the midpoint sampling strategy to generate a discrete pulse sampled from the continuous function:

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

i.e. the derivative of \(\text{sech}\).

Parameters

• duration (int) -- Duration of pulse. Must be greater than zero.

• amp (complex) -- Pulse amplitude at center.

• sigma (float) -- Width (standard deviation) of pulse.

• name (Optional[str]) -- Name of pulse.

Return type

Waveform