The Many Classical Faces of Quantum Structures

2014/12/31 by Chris Heunen · 15 citations
Arts and Humanities · Chemistry · Mathematics · Physics and Astronomy · #Classical mechanics #Computer science #History and advancements in chemistry #Mathematics #Philosophy and History of Science #Physics #Quantum #Quantum Mechanics and Applications #Quantum dynamics #Quantum mechanics #Quantum probability #Quantum process #Theoretical physics #math.OA #quant-ph

paper · pdf · doi:10.3390/e19040144

published in Entropy 19(4), 144 (Multidisciplinary Digital Publishing Institute) · 24 pages

openalex publication_date 2017/03/29 · arxiv created 2017/03/30 · arxiv updated 2017/03/31 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05

Abstract

Interpretational problems with quantum mechanics can be phrased precisely by only talking about empirically accessible information. This prompts a mathematical reformulation of quantum mechanics in terms of classical mechanics. We survey this programme in terms of algebraic quantum theory.

Citations

• Topos Analogues of the KMS State
• An extension of the Galois theory of Grothendieck
• On the Problem of Hidden Variables in Quantum Mechanics
• Kochen–Specker Theorem for von Neumann Algebras
• A topos for algebraic quantum theory
• On the Einstein Podolsky Rosen paradox
• Characterizing Quantum Theory in Terms of Information-Theoretic Constraints
• Projections in Banach Algebras
• Flows on Generalised Gelfand Spectra of Nonabelian Unital C*-Algebras and Time Evolution of Quantum Systems
• Domains of commutative C*-subalgebras