Quantum mechanics over sets: a pedagogical model with non-commutative finite probability theory as its quantum probability calculus

DOI10.1007/s11229-016-1175-0zbMath1385.81024OpenAlexW2505201293MaRDI QIDQ1708956

David P. Ellerman

Publication date: 27 March 2018

Published in: Synthese (Search for Journal in Brave)

Full work available at URL: http://philsci-archive.pitt.edu/16654/4/_QMoverSets-Preprint.pdf

zbMATH Keywords

pedagogical model of quantum mechanicsquantum mechanics over \(\mathbb Z_2\)quantum mechanics over sets

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Finite fields (field-theoretic aspects) (12E20) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (2)

On abstraction in mathematics and indefiniteness in quantum mechanics ⋮ Follow the math! : the mathematics of quantum mechanics as the mathematics of set partitions linearized to (Hilbert) vector spaces

Cites Work

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• Counting distinctions: on the conceptual foundations of Shannon's information theory
• Modal quantum theory
• THE LOGIC OF PARTITIONS: INTRODUCTION TO THE DUAL OF THE LOGIC OF SUBSETS
• An introduction to partition logic
• Discrete quantum theories
• Category Theory

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