A topos perspective on state-vector reduction

DOI10.1007/s10773-006-9110-7zbMath1119.81010arXivquant-ph/0508225OpenAlexW2062211136MaRDI QIDQ5920656

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Publication date: 28 September 2006

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0508225

Mathematics Subject Classification ID

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

Related Items (1)

Intuitionistic quantum logic of an \(n\)-level system

Cites Work

• Topoi. The categorial analysis of logic. Rev. ed
• Consistent histories and the interpretation of quantum mechanics
• Logical reformulation of quantum mechanics. I: Foundations
• Sheaves in geometry and logic: a first introduction to topos theory
• Topos perspective on the Kochen-Specker theorem. I: Quantum states as generalized valuations
• A Galois connection approach to superposition and inaccessibility
• Topos theory and consistent histories: The internal logic of the set of all consistent sets
• Topos perspective on the Kochen-Specker theorem. III: Von Neumann algebras as the base category.
• Topos perspective on the Kochen--Specker theorem. IV: Interval valuations
• A topos perspective on the Kochen-Specker theorem. II: Conceptual aspects and classical analogues
• Kochen-Specker theorem for von Neumann algebras
• Quantum logic and the histories approach to quantum theory
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