# new_carr_purcell_sequence¶

qctrlopencontrols.new_carr_purcell_sequence(duration, offset_count, pre_post_rotation=False, name=None)[source]

Creates the Carr-Purcell 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 Carr-Purcell sequence.

Return type

DynamicDecouplingSequence

Notes

The Carr-Purcell sequence 1 is parameterized by the number of offsets $$n$$ and duration $$\tau$$. The sequence is made up of a set of $$X_{\pi}$$ operations applied at

$t_i = \frac{\tau}{n} \left(i - \frac{1}{2}\right) \;,$

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

References

1

H. Y. Carr and E. M. Purcell, Physical Review 94, 630 (1954).