Transmon platform for quantum computing challenged by chaotic fluctuations

• DOI: 10.1038/s41467-022-29940-y
• Publication Date: 2022-05-06T10:13:14Z
• Authors: Christoph Berke; Evangelos Varvelis; Simon Trebst; Alexander Altland; David P. DiVincenzo
• Keywords: Quantum Physics; Condensed Matter - Mesoscale and Nanoscale Physics; Science; Q; FOS: Physical sciences; 500; 01 natural sciences; Article; Mesoscale and Nanoscale Physics (cond-mat.mes-hall); 0103 physical sciences; Quantum Physics (quant-ph); info:eu-repo/classification/ddc/500

AbstractFrom the perspective of many-body physics, the transmon qubit architectures currently developed for quantum computing are systems of coupled nonlinear quantum resonators. A certain amount of intentional frequency detuning (‘disorder’) is crucially required to protect individual qubit states against the destabilizing effects of nonlinear resonator coupling. Here we investigate the stability of this variant of a many-body localized phase for system parameters relevant to current quantum processors developed by the IBM, Delft, and Google consortia, considering the cases of natural or engineered disorder. Applying three independent diagnostics of localization theory — a Kullback–Leibler analysis of spectral statistics, statistics of many-body wave functions (inverse participation ratios), and a Walsh transform of the many-body spectrum — we find that some of these computing platforms are dangerously close to a phase of uncontrollable chaotic fluctuations.