new_gaussian_control
- qctrlopencontrols.new_gaussian_control(rabi_rotation, segment_count, duration, width, name=None)[source]
Generates a Gaussian driven control sequence.
Gaussian driven controls mitigate leakage out of the qubit subspace.
- Parameters
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.
- Returns
A control sequence as an instance of DrivenControl.
- Return type
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.
References