GaussianSquare

class GaussianSquare(duration, amp, sigma, width=None, risefall_sigma_ratio=None, name=None)

Bases: qiskit.pulse.library.parametric_pulses.ParametricPulse

A square pulse with a Gaussian shaped risefall on both sides. Either risefall_sigma_ratio

or width parameter has to be specified.

If risefall_sigma_ratio is not None and width is None:

$risefall = risefall$ _ $to$ _ $sigma * sigma$

$width = duration - 2 * risefall$

If width is not None and risefall_sigma_ratio is None:

$$risefall = (duration - width) / 2$$

In both cases, the pulse is defined as:

$$\begin{align}\begin{aligned}0 <= x < risefall\\f(x) = amp * exp( -(1/2) * (x - risefall/2)^2 / sigma^2) )\\risefall <= x < risefall + width\\f(x) = amp\\risefall + width <= x < duration\\f(x) = amp * exp( -(1/2) * (x - (risefall + width)/2)^2 / sigma^2) )\end{aligned}\end{align}$$

Initialize the gaussian square pulse.

Parameters

• duration (Union[int, ParameterExpression]) – Pulse length in terms of the the sampling period dt.

• amp (Union[complex, ParameterExpression]) – The amplitude of the Gaussian and of the square pulse.

• sigma (Union[float, ParameterExpression]) – A measure of how wide or narrow the Gaussian risefall is; see the class docstring for more details.

• width (Union[float, ParameterExpression, None]) – The duration of the embedded square pulse.

• risefall_sigma_ratio (Union[float, ParameterExpression, None]) – The ratio of each risefall duration to sigma.

• name (Optional[str]) – Display name for this pulse envelope.

Methods

assign	Assign one parameter to a value, which can either be numeric or another parameter expression.
assign_parameters	Return a new ParametricPulse with parameters assigned.
draw	Plot the interpolated envelope of pulse.
get_waveform	Return a Waveform with samples filled according to the formula that the pulse represents and the parameter values it contains.
is_parameterized	Return True iff the instruction is parameterized.
validate_parameters	Validate parameters.

Attributes

amp

The Gaussian amplitude.

Return type

Union[complex, ParameterExpression]

id

Unique identifier for this pulse.

Return type

int

limit_amplitude = True

parameters

Return type

Dict[str, Any]

risefall_sigma_ratio

The duration of each risefall in terms of sigma.

Return type

Union[float, ParameterExpression]

sigma

The Gaussian standard deviation of the pulse width.

Return type

Union[float, ParameterExpression]

width

The width of the square portion of the pulse.

Return type

Union[float, ParameterExpression]