Drag

class qiskit.pulse.library.Drag(duration, amp, sigma, beta, angle=0.0, name=None, limit_amplitude=None)

Bases: object

The Derivative Removal by Adiabatic Gate (DRAG) pulse is a standard Gaussian pulse with an additional Gaussian derivative component and lifting applied.

It can be calibrated either to reduce the phase error due to virtual population of the $|2\rangle$ state during the pulse or to reduce the frequency spectrum of a standard Gaussian pulse near the $|1\rangle\leftrightarrow|2\rangle$ transition, reducing the chance of leakage to the $|2\rangle$ state.

where $g(x)$ is a standard unlifted Gaussian waveform, $g'(x)$ is the lifted Gaussian waveform, and $\text{A} = \text{amp} \times \exp\left(i\times\text{angle}\right)$.

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).

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

Create new pulse instance.

Parameters

• duration – Pulse length in terms of the sampling period dt.
• amp – The magnitude of the amplitude of the DRAG envelope.
• sigma – A measure of how wide or narrow the Gaussian peak is; described mathematically in the class docstring.
• beta – The correction amplitude.
• angle – The angle of the complex amplitude of the DRAG envelope. Default value 0.
• name – Display name for this pulse envelope.
• limit_amplitude – If True, then limit the amplitude of the waveform to 1. The default is True and the amplitude is constrained to 1.

Returns

ScalableSymbolicPulse instance.

Attributes

alias