new_wamf1_control
- qctrlopencontrols.new_wamf1_control(rabi_rotation, maximum_rabi_rate, azimuthal_angle=0.0, name=None)[source]
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 \(\Omega_{\rm max}\) 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:
Notes
A WAMF1 [1] driven control consists of four control segments:
\(\delta t_n\)
\(\Omega_n\)
\(\phi_n\)
\(\Delta_n\)
\(\theta_+/4\Omega_{\rm max}\)
\(\Omega_{\rm max}\)
\(\phi\)
\(0\)
\(\theta_+/4\Omega_{\rm max}\)
\(\Omega_{\rm max}\theta_-/\theta_+\)
\(\phi\)
\(0\)
\(\theta_+/4\Omega_{\rm max}\)
\(\Omega_{\rm max}\theta_-/\theta_+\)
\(\phi\)
\(0\)
\(\theta_+/4\Omega_{\rm max}\)
\(\Omega_{\rm max}\)
\(\phi\)
\(0\)
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