Universität zu Köln

Berke, Christoph ORCID: 0000-0002-6228-9933, Varvelis, Evangelos ORCID: 0000-0001-8089-4355, Trebst, Simon ORCID: 0000-0002-1479-9736, Altland, Alexander and DiVincenzo, David P. (2022). Transmon platform for quantum computing challenged by chaotic fluctuations. Nat. Commun., 13 (1). BERLIN: NATURE PORTFOLIO. ISSN 2041-1723

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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. Superconducting quantum processors need to balance intentional disorder (to protect qubits) and nonlinear resonator coupling (to manipulate qubits), while avoiding chaotic instabilities. Berke et al. use the techniques of many-body localization theory to study the stability of current platforms against quantum chaos.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Berke, Christoph UNSPECIFIED orcid.org/0000-0002-6228-9933 UNSPECIFIED Varvelis, Evangelos UNSPECIFIED orcid.org/0000-0001-8089-4355 UNSPECIFIED Trebst, Simon UNSPECIFIED orcid.org/0000-0002-1479-9736 UNSPECIFIED Altland, Alexander UNSPECIFIED UNSPECIFIED UNSPECIFIED DiVincenzo, David P. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-677834
DOI:	10.1038/s41467-022-29940-y
Journal or Publication Title:	Nat. Commun.
Volume:	13
Number:	1
Date:	2022
Publisher:	NATURE PORTFOLIO
Place of Publication:	BERLIN
ISSN:	2041-1723
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Multidisciplinary Sciences Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/67783