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Title: Generating Fault-Tolerant Cluster States from Crystal Structures
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.  more » « less
Award ID(s):
1730449
PAR ID:
10212744
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Quantum
Volume:
4
ISSN:
2521-327X
Page Range / eLocation ID:
295
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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