dorsal/arxiv
View SchemaClassicality and connectedness for state property systems and closure spaces
| Authors | Diederik Aerts, Didier Deses, Ann Van der Voorde |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404071 |
| URL | https://arxiv.org/abs/quant-ph/0404071 |
Abstract
It has been shown that there is a categorical equivalence between the category SPS of state property systems and the category Cl of closure spaces. In this note we prove, using this equivalence between categories, that the concept of connectedness for closure spaces can be used to formulate a decomposition theorem, which allows us to split a state property system into a number of 'pure nonclassical state property systems' and a 'totally classical state property system'.
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"date_created": "2026-03-02T18:02:06.803000Z",
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"abstract": "It has been shown that there is a categorical equivalence between the\ncategory SPS of state property systems and the category Cl of closure spaces.\nIn this note we prove, using this equivalence between categories, that the\nconcept of connectedness for closure spaces can be used to formulate a\ndecomposition theorem, which allows us to split a state property system into a\nnumber of \u0027pure nonclassical state property systems\u0027 and a \u0027totally classical\nstate property system\u0027.",
"arxiv_id": "quant-ph/0404071",
"authors": [
"Diederik Aerts",
"Didier Deses",
"Ann Van der Voorde"
],
"categories": [
"quant-ph"
],
"title": "Classicality and connectedness for state property systems and closure spaces",
"url": "https://arxiv.org/abs/quant-ph/0404071"
},
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