PreprintCC BY-NC-SA 4.0arXiv
Nakayama's reduction of quantum topos and Bayesian quantum computing
Abstract
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.
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BibTeX
@misc{mori2026nakayamas,
title = {{Nakayama's reduction of quantum topos and Bayesian quantum computing}},
author = {Atsuhide Mori},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.34200},
eprint = {2609.34200},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.34200},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Nakayama's reduction of quantum topos and Bayesian quantum computing
AU - Atsuhide Mori
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.34200
UR - https://arxiv.org/abs/2609.34200
AB - 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.
ER -