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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.05627 |
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| _version_ | 1866917316474699776 |
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| author | Harding, John Wilce, Alex |
| author_facet | Harding, John Wilce, Alex |
| contents | We introduce a notion of the ``explanation" of one (generalized) probabilistic model by another as particular kind of span in the category $\Prob$ of probabilistic models and morphisms. We show that explanations compose under a standard pullback construction (notwithstanding that $\Prob$ does not support arbitrary pullbacks). We then show that every locally-finite probabilistic model has a canonical, sharp classical explanation. The construction is functorial, so every locally-finite probabilistic theory has a canonical, sharp classical (though of course, usually non-local) representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05627 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classical Explanations in (and of) General Probabilistic Theories Harding, John Wilce, Alex Quantum Physics Logic in Computer Science We introduce a notion of the ``explanation" of one (generalized) probabilistic model by another as particular kind of span in the category $\Prob$ of probabilistic models and morphisms. We show that explanations compose under a standard pullback construction (notwithstanding that $\Prob$ does not support arbitrary pullbacks). We then show that every locally-finite probabilistic model has a canonical, sharp classical explanation. The construction is functorial, so every locally-finite probabilistic theory has a canonical, sharp classical (though of course, usually non-local) representation. |
| title | Classical Explanations in (and of) General Probabilistic Theories |
| topic | Quantum Physics Logic in Computer Science |
| url | https://arxiv.org/abs/2603.05627 |