Logical Spectroscopy: Lifted-Product Codes with Addressable Bases

Jong Yeon Lee · 2026 · arXiv 2026

| 编号 QE151 | 主题 qLDPC 码 | 链接 arXiv:2607.05386 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

Quantum LDPC memories can encode many logical qubits, but that alone does not make them usable: applications need to know where the logical operators are supported, how they are labeled, and how conjugate $X/Z$ partners pair. For hypergraph-product codes this information follows from row reduction over ${\mathbb{F}}_2$. For Abelian lifted-product codes, which include prominent high-rate constructions, it does not: the entries of the defining seed matrices live in a group algebra rather than a field, so pivots need not be invertible and row reduction can fail. To address this problem, we introduce logical spectroscopy. For an odd-order Abelian lift group, the Chinese remainder theorem sp

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