Quantum Arithmetic
Siyi Wang, Anupam Chattopadhyay · 2026 · Computer Architecture and Design Methodologies, Springer
| 编号 QM022 | 主题 模运算与乘法 | 链接 DOI 10.1007/978-981-95-6039-4 |
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。 We formalize the quantum arithmetic, i.e. a relationship between number theory and operator algebras. Namely, it is proved that rational projective varieties are dual to the -algebras with real multiplication. Our construction fits all axioms of the quantum arithmetic conjectured by Manin and others. Applications to elliptic curves, Shafarevich-Tate groups of abelian varieties and height functions are reviewed.
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