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)