dorsal/arxiv
View SchemaQuantaloids Describing Causation and Propagation of Physical Properties
| Authors | Bob Coecke, David J. Moore, Isar Stubbe |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009100 |
| URL | https://arxiv.org/abs/quant-ph/0009100 |
| Journal | Foundations of Physics Letters 14, p.133-145 (2001) |
Abstract
A general principle of `causal duality' for physical systems, lying at the base of representation theorems for both compound and evolving systems, is proved; formally it is encoded in a quantaloidal setting. Other particular examples of quantaloids and quantaloidal morphisms appear naturally within this setting; as in the case of causal duality, they originate from primitive physical reasonings on the lattices of properties of physical systems. Furthermore, an essentially dynamical operational foundation for studying physical systems is outlined; complementary as it is to the existing static operational foundation, it leads to the natural axiomatization of `causal duality' in operational quantum logic.
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"abstract": "A general principle of `causal duality\u0027 for physical systems, lying at the\nbase of representation theorems for both compound and evolving systems, is\nproved; formally it is encoded in a quantaloidal setting. Other particular\nexamples of quantaloids and quantaloidal morphisms appear naturally within this\nsetting; as in the case of causal duality, they originate from primitive\nphysical reasonings on the lattices of properties of physical systems.\nFurthermore, an essentially dynamical operational foundation for studying\nphysical systems is outlined; complementary as it is to the existing static\noperational foundation, it leads to the natural axiomatization of `causal\nduality\u0027 in operational quantum logic.",
"arxiv_id": "quant-ph/0009100",
"authors": [
"Bob Coecke",
"David J. Moore",
"Isar Stubbe"
],
"categories": [
"quant-ph",
"math-ph",
"math.CT",
"math.LO",
"math.MP"
],
"journal_ref": "Foundations of Physics Letters 14, p.133-145 (2001)",
"title": "Quantaloids Describing Causation and Propagation of Physical Properties",
"url": "https://arxiv.org/abs/quant-ph/0009100"
},
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