Analytic control methods for high-fidelity unitary operations in a weakly nonlinear oscillator

By Jay M. Gambetta, F. Motzoi, Seth T. Merkel, Frank K. Wilhelm. 2010

225 citations recorded by the source corpus.

In qubits made from a weakly anharmonic oscillator the leading source of error at short gate times is leakage of population out of the two dimensional Hilbert space that forms the qubit. In this paper we develop a general scheme based on an adiabatic expansion to find pulse shapes that correct this type of error. We find a family of solutions that allows tailoring to what is practical to implement for a specific application. Our result contains and improves the previously developed DRAG technique [F. Motzoi, et. al., Phys. Rev. Lett. 103, 110501 (2009)] and allows a generalization to other non-linear oscillators with more than one leakage transition.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/de02d7ec28909cdd6b358e466ab30aa0935fd666

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Implementation of a Toffoli gate with superconducting circuits (2011, methodology): “The arbitrary rotations about the x and y axis [24] are realized with resonant microwave pulses applied to the open transmission line at each qubit.”
Efficient Z gates for quantum computing (2016, background): “However, only the pulse shaping component of DRAG is typically implemented [1, 8, 9], which cannot simultaneously correct both errors (we herein refer to DRAG by this definition).”
Rapid High-Fidelity Single-Shot Dispersive Readout of Superconducting Qubits (2017, methodology): “Before preparing the qubit in either the ground or excited state by applying a 18 ns R x DRAG pulse [29, 30], which ends at t = 0, we wait for about 100 ns ≈ 25/κeff for the resonator to decay back to its vacuum state after preselection.”