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arXiv · 1512.04765

Small Codes for Magic State Distillation

Mark Howard·Hillary Dawkins
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Abstract

Magic state distillation is a critical component in leading proposals for fault-tolerant quantum computation. Relatively little is known, however, about how to construct a magic state distillation routine or, more specifically, which stabilizer codes are suitable for the task. While transversality of a non-Clifford gate within a code often leads to efficient distillation routines, it appears to not be a necessary condition. Here we have examined a number of small stabilizer codes and highlight a handful of which displaying interesting, albeit inefficient, distillation behaviour. Many of these distill noisy states right up to the boundary of the known undististillable region, while some distill toward non-stabilizer states that have not previously been considered.

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Mark Howard, Hillary Dawkins. 2015-12-15. Small Codes for Magic State Distillation. https://doi.org/10.1140/epjd/e2016-60682-y

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