Category-theoretic analysis of the notion of complementarity for quantum systems

DOI10.1080/03081070500502777zbMath1121.81007OpenAlexW1970756341MaRDI QIDQ3442624

Elias Zafiris

Publication date: 18 May 2007

Published in: International Journal of General Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081070500502777

zbMATH Keywords

quantum logiccategory theorycomplementaritytopos theoryadjunction

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Categorical logic, topoi (03G30) Topoi (18B25) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (3)

A sheaf-theoretic topos model of the physical ‘Continuum’ and its cohomological observable dynamics ⋮ Boolean information sieves: a local-to-global approach to quantum information ⋮ Rosen's modelling relations via categorical adjunctions

Cites Work

• Niels Bohr and the construction of a new philosophy
• Categories, toposes and sets
• A relativity principle in quantum mechanics
• A topos perspective on the Kochen-Specker theorem. II: Conceptual aspects and classical analogues
• On quantum event structures. I: The categorical scheme
• On quantum event structures. II: Interpretational aspects
• Quantum and classical logic: Their respective roles
• The logic of quantum mechanics
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