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Nakayama的量子拓扑斯约化与贝叶斯量子计算

Nakayama's reduction of quantum topos and Bayesian quantum computing

Atsuhide Mori

arXiv 2609.34200首次发表:更新:

发表机构

Osaka Dental University(大阪牙科大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文阐释Nakayama将量子拓扑斯中语境限制与概率定义统一为拓扑选择,支持贝叶斯概率更新,并应用于量子计算。

AI 中文摘要

Nakayama找到了在Döring-Isham拓扑斯量子理论中限制语境的方法,并将这种限制与概率的定义统一为对拓扑的单一选择。我们阐释了这一统一如何支持贝叶斯视角,即概率随数据获取而变化。我们将这种变化描述为预测理论适用性的局部转移,并将其应用于量子计算。

英文摘要

Nakayama found the way to limit the contexts in the Döring-Isham topos quantum theory and unified such limitation and the definition of probability as a single choice of topology. We explain how this unification supports the Bayesian perspective where the probability changes as data is obtained. We describe this change as a local shift of the applicability of a predictive theory and apply it to quantum computing.

Comments18 pages. Submitted Apr 7, 2026; no AI disclosures. Companion paper: arXiv:2609.30406 (geometric approach)

论文原文

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