On information-theoretic characterizations of physical theories |
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| Affiliation: | 1. Food Technology, Engineering and Nutrition, Lund University, PO Box 124, SE-221 00 Lund, Sweden;2. Food Science, University of Copenhagen, Rolighedsvej 26, 1958 Frederiksberg C, Denmark;1. Geological Survey of Denmark and Greenland (GEUS), Øster Voldgade 10, DK-1350 Copenhagen K, Denmark;2. Department of Geology, Lund University, Sölvegatan 12, SE-223 62 Lund, Sweden;3. Department of Geosciences, Swedish Museum of Natural History, Box 50007, SE-104 05 Stockholm, Sweden;4. NERC Isotope Community Support Facility, SUERC, Rankine Avenue, East Kilbride G75 0QF, UK;5. NERC Isotope Geosciences Facilities (Stable Isotope Facility), British Geological Survey, Keyworth, Nottingham NG12 5GG, UK |
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| Abstract: | Clifton et al. (Found. Phys. 33 (2003) 1561) have recently argued that quantum theory is characterized by its satisfaction of three information-theoretic axioms. However, it is not difficult to construct apparent counterexamples to the CBH characterization theorem. In this paper, we discuss the limits of the characterization theorem, and we provide some technical tools for checking whether a theory (specified in terms of the convex structure of its state space) falls within these limits. |
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