Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation
Bermudez A, Xu X, Nigmatullin R, O'Gorman J, Negnevitsky V, Schindler P, Monz T, Poschinger UG, Hempel C, Home J, Schmidt-Kaler F, Biercuk MJ, Blatt R, Benjamin S, Mueller M (2017)
Publication Type: Journal article
Publication year: 2017
Journal
Book Volume: 7
Article Number: 041061
Journal Issue: 4
DOI: 10.1103/PhysRevX.7.041061
Abstract
A quantitative assessment of the progress of small prototype quantum processors towards fault-tolerant quantum computation is a problem of current interest in experimental and theoretical quantum information science. We introduce a necessary and fair criterion for quantum error correction (QEC), which must be achieved in the development of these quantum processors before their sizes are sufficiently big to consider the well-known QEC threshold. We apply this criterion to benchmark the ongoing effort in implementing QEC with topological color codes using trapped-ion quantum processors and, more importantly, to guide the future hardware developments that will be required in order to demonstrate beneficial QEC with small topological quantum codes. In doing so, we present a thorough description of a realistic trapped-ion toolbox for QEC and a physically motivated error model that goes beyond standard simplifications in the QEC literature. We focus on laser-based quantum gates realized in two-species trapped-ion crystals in high-optical aperture segmented traps. Our large-scale numerical analysis shows that, with the foreseen technological improvements described here, this platform is a very promising candidate for fault-tolerant quantum computation.
Involved external institutions
Leopold-Franzens-Universität Innsbruck / University of Innsbruck
Austria (AT)
University of Oxford
United Kingdom (GB)
Swansea University
United Kingdom (GB)
Eidgenössische Technische Hochschule Zürich (ETHZ) / Swiss Federal Institute of Technology in Zurich
Switzerland (CH)
Johannes Gutenberg-Universität Mainz (JGU)
Germany (DE)
University of Sydney (USYD)
Australia (AU)
Austria (AT)
University of Oxford
United Kingdom (GB)
Swansea University
United Kingdom (GB)
Eidgenössische Technische Hochschule Zürich (ETHZ) / Swiss Federal Institute of Technology in Zurich
Switzerland (CH)
Johannes Gutenberg-Universität Mainz (JGU)
Germany (DE)
University of Sydney (USYD)
Australia (AU)
How to cite
APA:
Bermudez, A., Xu, X., Nigmatullin, R., O'Gorman, J., Negnevitsky, V., Schindler, P.,... Mueller, M. (2017). Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation. Physical Review X, 7(4). https://dx.doi.org/10.1103/PhysRevX.7.041061
MLA:
Bermudez, Alejandro, et al. "Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation." Physical Review X 7.4 (2017).
BibTeX: Download