Generating fault-tolerant cluster states from crystal structures

TitleGenerating fault-tolerant cluster states from crystal structures
Publication TypeJournal Article
Year of Publication2020
AuthorsM Newman, LA de Castro, and KR Brown
JournalQuantum
Volume4
Pagination295 - 295
Date Published07/2020
Abstract

© 2020 Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften. All rights reserved. Measurement-based quantum computing (MBQC) is a promising alternative to traditional circuit-based quantum computing predicated on the construction and measurement of cluster states. Recent work has demonstrated that MBQC provides a more general framework for fault-tolerance that extends beyond foliated quantum error-correcting codes. We systematically expand on that paradigm, and use combinatorial tiling theory to study and construct new examples of fault-tolerant cluster states derived from crystal structures. Included among these is a robust self-dual cluster state requiring only degree-3 connectivity. We benchmark several of these cluster states in the presence of circuit-level noise, and find a variety of promising candidates whose performance depends on the specifics of the noise model. By eschewing the distinction between data and ancilla, this malleable framework lays a foundation for the development of creative and competitive fault-tolerance schemes beyond conventional error-correcting codes.

DOI10.22331/q-2020-07-13-295
Short TitleQuantum