Quantaloids Describing Causation and Propagation of Physical Properties
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.
Keywords
Cite
@article{arxiv.quant-ph/0009100,
title = {Quantaloids Describing Causation and Propagation of Physical Properties},
author = {Bob Coecke and David J. Moore and Isar Stubbe},
journal= {arXiv preprint arXiv:quant-ph/0009100},
year = {2007}
}
Comments
13 pages (+ 5 pages with respect to previous version) - extended physical discussion and reference update. Camera ready version