46 lines
2.5 KiB
Plaintext
46 lines
2.5 KiB
Plaintext
---
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title: Drag (v1.4)
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description: API reference for qiskit.pulse.library.Drag in qiskit v1.4
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in_page_toc_min_heading_level: 1
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python_api_type: class
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python_api_name: qiskit.pulse.library.Drag
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---
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# Drag
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<Class id="qiskit.pulse.library.Drag" isDedicatedPage={true} signature="qiskit.pulse.library.Drag(duration, amp, sigma, beta, angle=0.0, name=None, limit_amplitude=None)" modifiers="class">
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Bases: [`object`](https://docs.python.org/3/library/functions.html#object "(in Python v3.13)")
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The Derivative Removal by Adiabatic Gate (DRAG) pulse is a standard Gaussian pulse with an additional Gaussian derivative component and lifting applied.
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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.
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$$
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\begin{aligned}
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g(x) &= \exp\Bigl(-\frac12 \frac{(x - \text{duration}/2)^2}{\text{sigma}^2}\Bigr)\\
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g'(x) &= \text{A}\times\frac{g(x)-g(-1)}{1-g(-1)}\\
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f(x) &= g'(x) \times \Bigl(1 + 1j \times \text{beta} \times \Bigl(-\frac{x - \text{duration}/2}{\text{sigma}^2}\Bigr) \Bigr),
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\quad 0 \le x < \text{duration}
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\end{aligned}
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$$
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where $g(x)$ is a standard unlifted Gaussian waveform, $g'(x)$ is the lifted [`Gaussian`](qiskit.pulse.library.Gaussian "qiskit.pulse.library.Gaussian") waveform, and $\text{A} = \text{amp} \times \exp\left(i\times\text{angle}\right)$.
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**References**
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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).*](https://link.aps.org/doi/10.1103/PhysRevA.83.012308)
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2. [*F. Motzoi, J. M. Gambetta, P. Rebentrost, and F. K. Wilhelm Phys. Rev. Lett. 103, 110501 – Published 8 September 2009.*](https://link.aps.org/doi/10.1103/PhysRevLett.103.110501)
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<Admonition title="Deprecated since version 1.3" type="danger">
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The class `qiskit.pulse.library.symbolic_pulses.Drag` is deprecated as of Qiskit 1.3. It will be removed in Qiskit 2.0. The entire Qiskit Pulse package is being deprecated and will be moved to the Qiskit Dynamics repository: [https://github.com/qiskit-community/qiskit-dynamics](https://github.com/qiskit-community/qiskit-dynamics)
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</Admonition>
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## Attributes
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### alias
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<Attribute id="qiskit.pulse.library.Drag.alias" attributeValue="'Drag'" />
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</Class>
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