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qiskit.pulse.library.gaussian_square

gaussian_square(duration, amp, sigma, risefall=None, width=None, name=None, zero_ends=True)[source]

Generates gaussian square Waveform.

For \(d=\) duration, \(A=\) amp, \(\sigma=\) sigma, and \(r=\) risefall, applies the midpoint sampling strategy to generate a discrete pulse sampled from the continuous function:

\[\begin{split}f(x) = \begin{cases} g(x - r) ) & x\leq r \\ A & r\leq x\leq d-r \\ g(x - (d - r)) & d-r\leq x \end{cases}\end{split}\]

where \(g(x)\) is the Gaussian function sampled from in gaussian() with \(A=\) amp, \(\mu=1\), and \(\sigma=\) sigma. I.e. \(f(x)\) represents a square pulse with smooth Gaussian edges.

If zero_ends == True, the samples for the Gaussian ramps are remapped as in gaussian().

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

  • amp (complex) -- Pulse amplitude.

  • sigma (float) -- Width (standard deviation) of Gaussian rise/fall portion of the pulse.

  • risefall (Optional[float]) -- Number of samples over which pulse rise and fall happen. Width of square portion of pulse will be duration-2*risefall.

  • width (Optional[float]) -- The duration of the embedded square pulse. Only one of width or risefall should be specified as the functional form requires width = duration - 2 * risefall.

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

  • zero_ends (bool) -- If True, zero ends at x = -1, x = duration + 1, but rescale to preserve amp.

Raises

PulseError -- If risefall and width arguments are inconsistent or not enough info.

Return type

Waveform