new_gaussian_control

qctrlopencontrols.new_gaussian_control(rabi_rotation, segment_count, duration, width, name=None)

Generates a Gaussian driven control sequence.

Gaussian driven controls mitigate leakage out of the qubit subspace.

rabi_rotation (float) – Total Rabi rotation $\theta$ to be performed by the driven control.
segment_count (int) – Number of segments in the control sequence.
duration (float) – Total duration $t_g$ of the control sequence.
width (float) – Width (standard deviation) $\sigma$ of the ideal Gaussian pulse.
name (str , optional) – An optional string to name the control. Defaults to None.

A control sequence as an instance of DrivenControl.

Notes

A Gaussian driven control ¹ consists of a piecewise constant approximation to an ideal Gaussian pulse:

\mathcal{E}_G (t) = A \exp \left[- \frac{(t - t_g/2)^2}{2\sigma^2}\right] - B

where the two additional parameters $A, B$ chosen such that $\int_{0}^{t_g} \mathcal{E}_G ,dt = \theta$ and $\mathcal{E}_G(0) = 0$ .

Relative values of segments are determined by sampling the ideal Gaussian at the midpoints of the segments.