Generating fault-tolerant cluster states from crystal structures

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Newman, M; de Castro, LA; Brown, KR

Published Date

  • July 13, 2020

Published In

Volume / Issue

  • 4 /

Electronic International Standard Serial Number (EISSN)

  • 2521-327X

Digital Object Identifier (DOI)

  • 10.22331/q-2020-07-13-295

Citation Source

  • Scopus