# new_sk1_control

qctrlopencontrols.new_sk1_control(rabi_rotation, maximum_rabi_rate, azimuthal_angle=0.0, name=None)[source]

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 $$\theta$$ 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

DrivenControl

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

$\phi_* = \cos^{-1} \left( -\frac{\theta}{4\pi} \right).$

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).