Hyperbolic and Semi-Hyperbolic Floquet Codes for Photonic Quantum Computing

Aygul Azatovna Galimova · 2026 · arXiv

| 编号 QE241 | 主题 Floquet 与动态码 | 链接 arXiv:2602.22906 |

摘要

摘要保留原文（英文）

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Hyperbolic Floquet codes use only weight-2 measurements and can be implemented directly on hardware with native pair measurements. We construct hyperbolic and semi-hyperbolic Floquet codes from $8,3$, $10,3$, and $12,3$ tessellations via the Wythoff kaleidoscopic construction with the Low-Index Normal Subgroups (LINS) algorithm. The $10,3$ and $12,3$ families are new to hyperbolic Floquet codes. We evaluate these codes under four noise models. Under ancilla-based Entangling Measurement (EM3) noise, all three families achieve a threshold of $\sim 1.5$. With a native pair-measurement depolarizing model (SDEM3), thresholds are $\sim 1.0$—$1.2$. For heralded photon loss, the $8,3$ family achieves $\sim 8.5$—$9$, exceeding the planar honeycomb threshold of $\sim 6.3$. In the multi-parameter SPOQC-2 noise model, the $8,3$ codes achieve a 2D fault-tolerant area $2.2\times$ that of the surface code compiled to pair measurements. We present the first photon loss and SPOQC-2 thresholds for hyperbolic Floquet codes.

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