new_bb1_control
qctrlopencontrols.new_bb1_control(rabi_rotation, maximum_rabi_rate, azimuthal_angle=0.0, name=None)Creates a BB1 (Wimperis) driven control.
BB1 driven controls are robust to low-frequency noise sources that perturb the amplitude of the control field.
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
Notes
A BB1 driven control 1 consists of four control segments:
| $\delta t_n$ | $\Omega_n$ | $\phi_n$ | $\Delta_n$ |
| $\theta/\Omega_{\rm max}$ | $\Omega_{\rm max}$ | $\phi$ | $0$ |
| $\pi/\Omega_{\rm max}$ | $\Omega_{\rm max}$ | $\phi+\phi_*$ | $0$ |
| $2\pi/\Omega_{\rm max}$ | $\Omega_{\rm max}$ | $\phi+3\phi_*$ | $0$ |
| $\pi/\Omega_{\rm max}$ | $\Omega_{\rm max}$ | $\phi+\phi_*$ | $0$ |
where
ϕ∗=cos−1(−4πθ).References
[1] S. Wimperis, Journal of Magnetic Resonance, Series A 109, 2 (1994).