new_corpse_control
- qctrlopencontrols.new_corpse_control(rabi_rotation, maximum_rabi_rate, azimuthal_angle=0.0, name=None)[source]
Creates a compensating for off-resonance with a pulse sequence (CORPSE) driven control.
CORPSE 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.
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 CORPSE driven control 1 2 consists of three control segments:
\(\delta t_n\)
\(\Omega_n\)
\(\phi_n\)
\(\Delta_n\)
\(\theta_1/\Omega_{\rm max}\)
\(\Omega_{\rm max}\)
\(\phi\)
\(0\)
\(\theta_2/\Omega_{\rm max}\)
\(\Omega_{\rm max}\)
\(\phi+\pi\)
\(0\)
\(\theta_3/\Omega_{\rm max}\)
\(\Omega_{\rm max}\)
\(\phi\)
\(0\)
where
\[ \begin{align}\begin{aligned}\theta_1 &= 2\pi + \frac{\theta}{2} - \sin^{-1} \left[ \frac{\sin(\theta/2)}{2}\right]\\\theta_2 &= 2\pi - 2\sin^{-1} \left[ \frac{\sin(\theta/2)}{2}\right]\\\theta_3 &= \frac{\theta}{2} - \sin^{-1} \left[ \frac{\sin(\theta/2)}{2}\right].\end{aligned}\end{align} \]References