new_uhrig_sequence | API References | Q-CTRL Open Controls | References

qctrlopencontrols.new_uhrig_sequence(duration, offset_count, pre_post_rotation=False, name=None)

Creates the Uhrig sequence.

Parameters

duration (float) – Total duration of the sequence $\tau$ (in seconds).
offset_count (int) – Number of offsets $n$ .
pre_post_rotation (bool , optional) – If True, a $X_{\pi/2}$ rotation is added at the start and end of the sequence. Defaults to False.
name (string , optional) – Name of the sequence. Defaults to None.

Returns

The Uhrig sequence.

Return type

DynamicDecouplingSequence

Notes

The Uhrig sequence ¹ is parameterized by duration $\tau$ and number of offsets $n$ . The sequence consists of $Y_{\pi}$ operations at offsets given by

t_i = \tau \sin^2 \left( \frac{i\pi}{2(n+1)} \right) \;,

where $i = 1, \cdots, n$ .

References

[1] G. S. Uhrig, Physical Review Letters 98, 100504 (2007).