Transmon platform for quantum computing challenged by chaotic fluctuations

Nature Communications, vol. 13, pp. 2495

Abstract

From 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.

Authors 5

1. Christoph Berke corresponding

   University of Cologne

   Affiliation as printed

   Institute for Theoretical Physics, University of Cologne, 50937, Cologne, Germany. berke@thp.uni-koeln.de

   Institute for Theoretical Physics, University of Cologne, 50937, Cologne, Germany

2. Evangelos Varvelis Aachen Institute for Quantum Information

   Jülich Aachen Research Alliance · RWTH Aachen University

   Affiliation as printed

   Institute for Quantum Information, RWTH Aachen University, 52056, Aachen, Germany

   Jülich-Aachen Research Alliance (JARA), Fundamentals of Future Information Technologies, 52425, Jülich, Germany

3. Simon Trebst

   University of Cologne

   Affiliation as printed

   Institute for Theoretical Physics, University of Cologne, 50937, Cologne, Germany

4. Alexander Altland

   University of Cologne

   Affiliation as printed

   Institute for Theoretical Physics, University of Cologne, 50937, Cologne, Germany

5. David Peter Divincenzo Aachen Institute for Quantum Information

   Forschungszentrum Jülich · Jülich Aachen Research Alliance · RWTH Aachen University

   Affiliation as printed

   Institute for Quantum Information, RWTH Aachen University, 52056, Aachen, Germany

   Jülich-Aachen Research Alliance (JARA), Fundamentals of Future Information Technologies, 52425, Jülich, Germany

   Peter Grünberg Institute, Theoretical Nanoelectronics, Forschungszentrum Jülich, 52425, Jülich, Germany