DynamicDecouplingSequence

class qctrlopencontrols.DynamicDecouplingSequence(duration, offsets, rabi_rotations, azimuthal_angles, detuning_rotations, name=None)

Creates a dynamic decoupling sequence.

Parameters

• duration (float) – The total time in seconds for the sequence $\tau$.
• offsets (np.ndarray) – The times offsets $\{t_j\}$ in seconds for the center of pulses.
• rabi_rotations (np.ndarray) – The Rabi rotation $\omega_j$ at each time offset $t_j$.
• azimuthal_angles (np.ndarray) – The azimuthal angle $\phi_j$ at each time offset $t_j$.
• detuning_rotations (np.ndarray) – The detuning rotation $\delta_j$ at each time offset $t_j$.
• name (str , optional) – Name of the sequence. Defaults to None.

Notes

Dynamical decoupling sequence (DDS) is canonically defined as a series of $n$-instantaneous unitary operations, often $\pi$-pulses, executed at time offsets $\{t_j\}_{j=1}^n$ over the time interval with a total duration $\tau$. The $j$-th operation applied at time $t_j$ can be parameterized as

Note that in practice all DDSs typically have a $X_{\pi/2}$ operation at the start $t = 0$ and end $t = \tau$ of the sequence. This is because it is assumed that the qubit is initially in the state $|0\rangle$ and a superposition needs to be created and removed to make the qubit sensitive to dephasing.

Methods