dorsal/arxiv
View SchemaConnectedness Applied to Closure Spaces and State Property Systems
| Authors | Diederik Aerts, Didier Deses, An Van der Voorde |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205163 |
| URL | https://arxiv.org/abs/quant-ph/0205163 |
| Journal | Journal of Electrical Engineering, 52, 18 - 21, 2001 |
Abstract
In earlier work a description of a physical entity is given by means of a state property system and it is proven that any state property system is equivalent to a closure space. In the present paper we investigate the relations between classical properties and connectedness for closure spaces. The main result is 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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"abstract": "In earlier work a description of a physical entity is given by means of a\nstate property system and it is proven that any state property system is\nequivalent to a closure space. In the present paper we investigate the\nrelations between classical properties and connectedness for closure spaces.\nThe main result is a decomposition theorem, which allows us to split a state\nproperty system into a number of \u0027pure nonclassical state property systems\u0027 and\na \u0027totally classical state property system\u0027",
"arxiv_id": "quant-ph/0205163",
"authors": [
"Diederik Aerts",
"Didier Deses",
"An Van der Voorde"
],
"categories": [
"quant-ph"
],
"journal_ref": "Journal of Electrical Engineering, 52, 18 - 21, 2001",
"title": "Connectedness Applied to Closure Spaces and State Property Systems",
"url": "https://arxiv.org/abs/quant-ph/0205163"
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