Drag

class Drag(duration, amp, sigma, beta, name=None)[source]

The Derivative Removal by Adiabatic Gate (DRAG) pulse is a standard Gaussian pulse with an additional Gaussian derivative component. It is designed to reduce the frequency spectrum of a normal gaussian pulse near the \(|1\rangle\) - \(|2\rangle\) transition, reducing the chance of leakage to the \(|2\rangle\) state.

\[f(x) = Gaussian + 1j * beta * d/dx [Gaussian] = Gaussian + 1j * beta * (-(x - duration/2) / sigma^2) [Gaussian]\]

where ‘Gaussian’ is:

\[Gaussian(x, amp, sigma) = amp * exp( -(1/2) * (x - duration/2)^2 / sigma^2) )\]

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).

  1. F. Motzoi, J. M. Gambetta, P. Rebentrost, and F. K. Wilhelm Phys. Rev. Lett. 103, 110501 – Published 8 September 2009.

Initialize the drag pulse.

Parameters

  • duration (int) – Pulse length in terms of the the sampling period dt.

  • amp (complex) – The amplitude of the Drag envelope.

  • sigma (float) – A measure of how wide or narrow the Gaussian peak is; described mathematically in the class docstring.

  • beta (float) – The correction amplitude.

  • name (Optional[str]) – Display name for this pulse envelope.

Attributes

Drag.amp

The Gaussian amplitude.

Drag.beta

The weighing factor for the Gaussian derivative component of the waveform.

Drag.id

Unique identifier for this pulse.

Drag.parameters

Return a dictionary containing the pulse’s parameters.

Drag.sigma

The Gaussian standard deviation of the pulse width.

Methods

Drag.__call__(channel)

Call self as a function.

Drag.draw([dt, style, filename, …])

Plot the pulse.

Drag.get_sample_pulse()

Return a SamplePulse with samples filled according to the formula that the pulse represents and the parameter values it contains.

Drag.validate_parameters()

Validate parameters.

Drag.__call__(channel)

Call self as a function.