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Planar Floquet Codes

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arxiv 2110.05348 v2 pith:VYUBIIPN submitted 2021-10-11 quant-ph

classification quant-ph
keywords codehoneycombfloquethastingslogicalqubitsboundariescalled
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A conditional no-go for resource-free magic-axis measurement on a static surface code

    eess.SY 2026-07 conditional novelty 6.0 of 10

    Under three stated assumptions, a resource-free static surface-code patch cannot sharply measure the magic axis at polynomial acceptance; it must pay with a resource, leave the dilute regime, or accept exponentially rarely.

  2. Approximate Dynamical Quantum Error-Correcting Codes

    quant-ph 2025-02 conditional novelty 6.0 of 10

    The paper constructs approximate dynamical quantum error-correcting codes for amplitude-damping noise, proves uniqueness and robustness of the SDP-optimized encoding, decoding, and check operations, and introduces a t...

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