new_corpse_in_sk1_control
qctrlopencontrols.new_corpse_in_sk1_control(rabi_rotation, maximum_rabi_rate, azimuthal_angle=0.0, name=None)Creates a CORPSE concatenated within SK1 (CORPSE in SK1) driven control.
CORPSE in SK1 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 θ to be performed by the driven control.
- maximum_rabi_rate (float) – The maximum Rabi frequency Ωmax for the driven control.
- azimuthal_angle (float , optional) – The azimuthal angle ϕ for the rotation. Defaults to 0.
- name (str , optional) – An optional string to name the control. Defaults to
None.
Returns
The driven control {(δtn,Ωn,ϕn,Δn)}.
Return type
SEE ALSO
new_corpse_control, new_sk1_control
Notes
A CORPSE in SK1 driven control 1 2 consists of an SK1 control with the first segment replaced by a CORPSE control, which yields five segments:
| $\delta t_n$ | $\Omega_n$ | $\phi_n$ | $\Delta_n$ |
| $\theta_1/\Omega_{\rm max}$ | $\Omega_{\rm max}$ | $\phi$ | $0$ |
| $\theta_2/\Omega_{\rm max}$ | $\Omega_{\rm max}$ | $\phi+\pi$ | $0$ |
| $\theta_3/\Omega_{\rm max}$ | $\Omega_{\rm max}$ | $\phi$ | $0$ |
| $2\pi/\Omega_{\rm max}$ | $\Omega_{\rm max}$ | $\phi-\phi_*$ | $0$ |
| $2\pi/\Omega_{\rm max}$ | $\Omega_{\rm max}$ | $\phi+\phi_*$ | $0$ |
where
\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). $$