qiskit.pulse.library.drag

drag(duration, amp, sigma, beta, name=None, zero_ends=True)

Generates Y-only correction DRAG Waveform for standard nonlinear oscillator (SNO) [1].

For $A=$ amp, $\sigma=$ sigma, and $\beta=$ beta, applies the midpoint sampling strategy to generate a discrete pulse sampled from the continuous function:

where $g(x)$ is the function sampled in gaussian(), and $h(x)$ is the function sampled in gaussian_deriv().

If zero_ends == True, the samples from $g(x)$ are remapped as in gaussian().

References

1. Gambetta, J. M., Motzoi, F., Merkel, S. T. & Wilhelm, F. K. “Analytic control methods for high-fidelity unitary operations in a weakly nonlinear oscillator.” Phys. Rev. A 83, 012308 (2011).

Parameters

• duration (int) – Duration of pulse. Must be greater than zero.
• amp (complex) – Pulse amplitude at center duration/2.
• sigma (float) – Width (standard deviation) of pulse.
• beta (float) – Y correction amplitude. For the SNO this is $\beta=-\frac{\lambda_1^2}{4\Delta_2}$. Where $\lambda_1$ is the relative coupling strength between the first excited and second excited states and $\Delta_2$ is the detuning between the respective excited states.
• name (str | None) – Name of pulse.
• zero_ends (bool) – If True, zero ends at x = -1, x = duration + 1, but rescale to preserve amp.

Return type

Waveform