GaussianSquare

class qiskit.pulse.library.GaussianSquare(duration, amp, sigma, width=None, angle=0.0, risefall_sigma_ratio=None, name=None, limit_amplitude=None)

Bases: object

A square pulse with a Gaussian shaped risefall on both sides lifted such that its first sample is zero.

Exactly one of the risefall_sigma_ratio and width parameters has to be specified.

If risefall_sigma_ratio is not None and width is None:

\begin{aligned} \text{risefall} &= \text{risefall\_sigma\_ratio} \times \text{sigma}\\ \text{width} &= \text{duration} - 2 \times \text{risefall} \end{aligned}

If width is not None and risefall_sigma_ratio is None:

\text{risefall} = \frac{\text{duration} - \text{width}}{2}

In both cases, the lifted gaussian square pulse $f'(x)$ is defined as:

\begin{aligned} f'(x) &= \begin{cases} \exp\biggl(-\frac12 \frac{(x - \text{risefall})^2}{\text{sigma}^2}\biggr) & x < \text{risefall}\\ 1 & \text{risefall} \le x < \text{risefall} + \text{width}\\ \exp\biggl(-\frac12 \frac{{\bigl(x - (\text{risefall} + \text{width})\bigr)}^2} {\text{sigma}^2} \biggr) & \text{risefall} + \text{width} \le x \end{cases}\\ f(x) &= \text{A} \times \frac{f'(x) - f'(-1)}{1-f'(-1)}, \quad 0 \le x < \text{duration} \end{aligned}

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

Deprecated since version 1.3

The class qiskit.pulse.library.symbolic_pulses.GaussianSquare is deprecated as of Qiskit 1.3. It will be removed in Qiskit 2.0. The entire Qiskit Pulse package has been deprecated.

Attributes

alias

Default value: 'GaussianSquare'

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