new_corpse_in_bb1_control

qctrlopencontrols.new_corpse_in_bb1_control(rabi_rotation, maximum_rabi_rate, azimuthal_angle=0.0, name=None)

Creates a CORPSE concatenated within BB1 (CORPSE in BB1) driven control.

CORPSE in BB1 driven controls are robust to both low-frequency noise sources that perturb the amplitude of the control field and 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

SEE ALSO

new_corpse_control, new_bb1_control

Notes

A CORPSE in BB1 driven control 1 2 consists of a BB1 control with the first segment replaced by a CORPSE control, which yields six 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$
$\pi/\Omega_{\rm max}$$\Omega_{\rm max}$$\phi+\phi_*$$0$
$2\pi/\Omega_{\rm max}$$\Omega_{\rm max}$$\phi+3\phi_*$$0$
$\pi/\Omega_{\rm max}$$\Omega_{\rm max}$$\phi+\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] \phi_* &= \cos^{-1} \left( -\frac{\theta}{4\pi} \right). $$

References

[1] M. Bando, T. Ichikawa, Y Kondo, and M. Nakahara, Journal of the Physical Society of Japan 82, 1 (2012).

[2] C. Kabytayev, T. J. Green, K. Khodjasteh, M. J. Biercuk, L. Viola, and K. R. Brown, Physical Review A 90, 012316 (2014).

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