new_wamf1_control

qctrlopencontrols.new_wamf1_control(rabi_rotation, maximum_rabi_rate, azimuthal_angle=0.0, name=None)

Creates a first-order Walsh amplitude-modulated filter (WAMF1) driven control.

WAMF1 driven controls are robust to low-frequency dephasing noise.

Parameters

• rabi_rotation (float) – The total Rabi rotation $\theta$ to be performed by the driven control. Must be either $\pi/4$, $\pi/2$, or $\pi$.
• maximum_rabi_rate (float) – The maximum Rabi frequency $\Omega_{\mathrm max}$ for the driven control.
• azimuthal_angle (float , optional) – The azimuthal angle $\phi$ for the rotation. Defaults to 0.
• name (str , optional) – An optional string to name the control. Defaults to None.

Returns

The driven control $\{(\delta t_n, \Omega_n, \phi_n, \Delta_n)\}$.

Return type

DrivenControl

Notes

A WAMF1 ¹ driven control consists of four control segments:

where $\theta_\pm = \theta+2\pi k_\theta\pm \delta_\theta$, and the integer $k_\theta$ and offset $\delta_\theta$ are optimized numerically in order to maximize the suppression of dephasing noise. Note that the optimal values depend only on the rotation angle $\theta$.

This implementation supports $\theta\in\{\pi/4,\pi/2,\pi\}$.

References

• [1] H. Ball and M. J. Biercuk, EPJ Quantum Technology 2, 11 (2015).