new_sk1_control
qctrlopencontrols.new_sk1_control(rabi_rotation, maximum_rabi_rate, azimuthal_angle=0.0, name=None)Creates a first order Solovay-Kitaev (SK1) driven control.
SK1 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
An SK1 driven control 1 2 consists of three control segments:
| $\delta t_n$ | $\Omega_n$ | $\phi_n$ | $\Delta_n$ |
| $\theta/\Omega_{\rm max}$ | $\Omega_{\rm max}$ | $\phi$ | $0$ |
| $2\pi/\Omega_{\rm max}$ | $\Omega_{\rm max}$ | $\phi-\phi_*$ | $0$ |
| $2\pi/\Omega_{\rm max}$ | $\Omega_{\rm max}$ | $\phi+\phi_*$ | $0$ |
where
ϕ∗=cos−1(−4πθ).References
[1] K. R. Brown, A. W. Harrow, and I. L. Chuang, Physical Review A 70, 052318 (2004).
[2] K. R. Brown, A. W. Harrow, and I. L. Chuang, Physical Review A 72, 039905 (2005).