Planar Floquet Codes
Abstract
A protocol called the "honeycomb code", or generically a "Floquet code", was introduced by Hastings and Haah in \cite{hastings_dynamically_2021}. 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 times for two protected logical qubits. In this work we show a way to introduce boundaries to the system which curiously presents a rotating dynamics but has constant distance and is therefore not fault-tolerant.
Domains
Quantum Physics [quant-ph]
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Origin : Files produced by the author(s)
Origin : Files produced by the author(s)
Format : Figure, Image
Format : Figure, Image
Format : Figure, Image
Format : Figure, Image
Format : Figure, Image
Format : Figure, Image
Format : Figure, Image
Format : Figure, Image
Format : Figure, Image
Format : Figure, Image
Format : Figure, Image
Format : Figure, Image
Origin : Files produced by the author(s)