Abstract

There is a tremendous interest in fabricating superconducting flux circuits that are nonstoquastic--ie, have positive off-diagonal matrix elements--in their qubit representation, as these circuits are thought to be unsimulable by classical approaches due to the presence of a sign problem and thus could play a key role in the demonstration of speedups in quantum annealing protocols. We show, however, that the elimination of the sign problem in these systems is possible by the direct simulation of the flux circuits. Our approach not only obviates the reduction of flux circuits to their qubit representation but also produces results that are more in the spirit of the experimental setup. We discuss the implications of our work, arguing that our findings cast doubt on the conception that superconducting flux circuits represent the correct avenue for universal adiabatic quantum computers.

Date

2020

Authors

Harel Kol-Namer, Tom Halverson, Lalit Gupta, Moshe Goldstein, Itay Hen

Journal

arXiv e-prints

Pages

arXiv: 2011.03831