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arXiv · 1909.11817

Generating Fault-Tolerant Cluster States from Crystal Structures

Michael Newman·Leonardo Andreta de Castro·Kenneth R. Brown
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Abstract

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.

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Michael Newman, Leonardo Andreta de Castro, Kenneth R. Brown. 2019-09-25. Generating Fault-Tolerant Cluster States from Crystal Structures. https://doi.org/10.22331/q-2020-07-13-295

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