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:
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