new_corpse_control

qctrlopencontrols.new_corpse_control(rabi_rotation, maximum_rabi_rate, azimuthal_angle=0.0, name=None)

Creates a compensating for off-resonance with a pulse sequence (CORPSE) driven control.

CORPSE driven controls are robust to low-frequency dephasing noise.

Parameters

  • rabi_rotation (float) – The total Rabi rotation θ\theta to be performed by the driven control.
  • maximum_rabi_rate (float) – The maximum Rabi frequency Ωmax\Omega_{\rm max} for the driven control.
  • azimuthal_angle (float , optional) – The azimuthal angle ϕ\phi 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)}\{(\delta t_n, \Omega_n, \phi_n, \Delta_n)\}.

Return type

DrivenControl

Notes

A CORPSE driven control 1 2 consists of three control segments:

$\delta t_n$$\Omega_n$$\phi_n$$\Delta_n$
$\theta_1/\Omega_{\rm max}$$\Omega_{\rm max}$$\phi$$0$
$\theta_2/\Omega_{\rm max}$$\Omega_{\rm max}$$\phi+\pi$$0$
$\theta_3/\Omega_{\rm max}$$\Omega_{\rm max}$$\phi$$0$

where

\theta_1 &= 2\pi + \frac{\theta}{2} - \sin^{-1} \left[ \frac{\sin(\theta/2)}{2}\right] \theta_2 &= 2\pi - 2\sin^{-1} \left[ \frac{\sin(\theta/2)}{2}\right] \theta_3 &= \frac{\theta}{2} - \sin^{-1} \left[ \frac{\sin(\theta/2)}{2}\right].

References

[1] H. K. Cummins and J. A. Jones, New Journal of Physics 2 (2000).

[2] H. K. Cummins, G. Llewellyn, and J. A. Jones, Physical Review A 67, 042308 (2003).

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