new_wamf1_control
qctrlopencontrols.new_wamf1_control(rabi_rotation, maximum_rabi_rate, azimuthal_angle=0.0, name=None)
Creates a first-order Walsh amplitude-modulated filter (WAMF1) driven control.
WAMF1 driven controls are robust to low-frequency dephasing noise.
Parameters
- rabi_rotation (float) – The total Rabi rotation to be performed by the driven control. Must be either , , or
- maximum_rabi_rate (float) – The maximum Rabi frequency
- azimuthal_angle (float , optional) – The azimuthal angle
- name (str , optional) – An optional string to name the control. Defaults to
None
.
Returns
The driven control
Return type
Notes
A WAMF1 1 driven control consists of four control segments:
$\delta t_n$ | $\Omega_n$ | $\phi_n$ | $\Delta_n$ |
$\theta_+/4\Omega_{\rm max}$ | $\Omega_{\rm max}$ | $\phi$ | $0$ |
$\theta_+/4\Omega_{\rm max}$ | $\Omega_{\rm max}\theta_-/\theta_+$ | $\phi$ | $0$ |
$\theta_+/4\Omega_{\rm max}$ | $\Omega_{\rm max}\theta_-/\theta_+$ | $\phi$ | $0$ |
$\theta_+/4\Omega_{\rm max}$ | $\Omega_{\rm max}$ | $\phi$ | $0$ |
where , and the integer and offset are optimized numerically in order to maximize the suppression of dephasing noise. Note that the optimal values depend only on the rotation angle
This implementation supports
References
[1] H. Ball and M. J. Biercuk, EPJ Quantum Technology 2, 11 (2015).