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Pré-Publication, Document De Travail Année : 2021

Planar Floquet Codes

Résumé

A protocol called the "honeycomb code", or generically a "Floquet code", was introduced by Hastings and Haah in [1]. The honeycomb code is a subsystem code based on the honeycomb lattice with zero logical qubits but such that there exists a schedule for measuring two-body gauge checks leaving enough room at all time for two protected logical qubits. In this work we show how to introduce boundaries to the system, which was a question left open in [1], allowing to make fully planar implementations of Floquet codes. We also show how to compute with the created planar logical qubits using the natural dynamics of the system and code deformation techniques.
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Dates et versions

hal-03375918 , version 1 (13-10-2021)
hal-03375918 , version 2 (07-02-2022)

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Christophe Vuillot. Planar Floquet Codes. 2021. ⟨hal-03375918v1⟩
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