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arXiv 2602.22906quant-ph
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双曲与半双曲福克码用于光子量子计算

Hyperbolic and Semi-Hyperbolic Floquet Codes for Photonic Quantum Computing

Duke University（杜克大学）

Aygul Azatovna Galimova

备注：
arXiv admin note: substantial text overlap with arXiv:2602.17969
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AI总结：

本文提出双曲和半双曲福克码，基于特定镶嵌结构，通过Wythoff镜像构造和LINS算法实现，评估不同噪声模型下的阈值性能，首次报告了双曲福克码在光子损失和SPOQC-2噪声下的阈值。

摘要：

双曲福克码仅使用权重为2的测量，可直接在具有原生配对测量的硬件上实现。我们通过Wythoff镜像构造和低指数正规子群（LINS）算法，从{8,3}、{10,3}和{12,3}镶嵌结构中构建双曲和半双曲福克码。{10,3}和{12,3}家族是双曲福克码的新家族。我们在四种噪声模型下评估这些码。在基于辅助量子比特的纠缠测量（EM3）噪声下，三个家族均达到约1.5%的阈值。在原生配对测量去极化模型（SDEM3）下，阈值为约1.0-1.2%。在 heralded 光子损失情况下，{8,3}家族达到约8.5-9%，超过平面蜂窝状阈值约6.3%。在多参数SPOQC-2噪声模型中，{8,3}码的2D容错面积是表面码编译到配对测量的2.2倍。我们首次报告了双曲福克码在光子损失和SPOQC-2噪声下的阈值。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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