new_corpse_in_bb1_control

qctrlopencontrols.new_corpse_in_bb1_control(rabi_rotation, maximum_rabi_rate, azimuthal_angle=0.0, name=None)

Creates a CORPSE concatenated within BB1 (CORPSE in BB1) driven control.

CORPSE in BB1 driven controls are robust to both low-frequency noise sources that perturb the amplitude of the control field and 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 $\Omega_{\mathrm max}$ 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 CORPSE in BB1 driven control ¹ ² consists of a BB1 control with the first segment replaced by a CORPSE control, which yields six segments:


$\delta t_n$	$\Omega_n$	$\phi_n$	$\Delta_n$
$\theta_1/\Omega_{\mathrm max}$	$\Omega_{\mathrm max}$	$\phi$	$0$
$\theta_2/\Omega_{\mathrm max}$	$\Omega_{\mathrm max}$	$\phi+\pi$	$0$
$\theta_3/\Omega_{\mathrm max}$	$\Omega_{\mathrm max}$	$\phi$	$0$
$\pi/\Omega_{\mathrm max}$	$\Omega_{\mathrm max}$	$\phi+\phi_*$	$0$
$2\pi/\Omega_{\mathrm max}$	$\Omega_{\mathrm max}$	$\phi+3\phi_*$	$0$
$\pi/\Omega_{\mathrm max}$	$\Omega_{\mathrm max}$	$\phi+\phi_*$	$0$

where

\begin{align} \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] \\ \phi_* &= \cos^{-1} \left( -\frac{\theta}{4\pi} \right) \end{align}

Parameters

Returns

Return type

SEE ALSO

Notes

References