new_xy_concatenated_sequence¶

qctrlopencontrols.
new_xy_concatenated_sequence
(duration, concatenation_order, pre_post_rotation=False, name=None)[source]¶ Creates the \(XY\)concatenated sequence.
 Parameters
duration (float) – The total duration of the sequence \(\tau\) (in seconds).
concatenation_order (int, optional) – The number of concatenation of base sequence \(l\).
pre_post_rotation (bool, optional) – If
True
, a \(X_{\pi/2}\) rotation is added at the start and end of the sequence. Defaults toFalse
.name (string, optional) – Name of the sequence. Defaults to
None
.
 Returns
The \(XY\)concatenated sequence.
 Return type
See also
Notes
The \(XY\)concatenated sequence 1 is constructed by recursively concatenating control sequence structures. It’s parameterized by the concatenation order \(l\) and the duration of the total sequence \(\tau\). Let the \(l\)th order of concatenation be denoted as \(C_l(\tau)\). In this scheme, zeroth order concatenation of duration \(\tau\) is defined as free evolution over a period of \(\tau\). Using the notation \({\mathcal 1}(\tau)\) to represent free evolution over duration \(\tau\), the the base sequence is:
\[C_0(\tau) = {\mathcal 1}(\tau) \;.\]The \(l\)th order \(XY\)concatenated sequence can be recursively defined as
\[C_l(\tau) = C_{l  1}(\tau / 4) X_{\pi} C_{l  1}(\tau / 4) Y_{\pi} C_{l  1}(\tau / 4) X_{\pi} C_{l  1}(\tau / 4) Y_{\pi} \;.\]References