Axioms for the category of Hilbert spaces and linear contractions
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Publication:6203678
DOI10.1112/blms.13010arXiv2211.02688MaRDI QIDQ6203678
Chris Heunen, Andre Kornell, Nesta van der Schaaf
Publication date: 6 April 2024
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.02688
Characterizations of Hilbert spaces (46C15) Embedding theorems, universal categories (18B15) Dagger categories, categorical quantum mechanics (18M40)
Cites Work
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- Why John von Neumann did not like the Hilbert space formalism of quantum mechanics (and what he liked instead)
- Unitary operators in real von Neumann algebras
- Quantum logic in dagger kernel categories
- Coreflections in algebraic quantum logic
- Postulates for general quantum mechanics
- Sheaf representation of monoidal categories
- Completeness of †-categories and the complex numbers
- Towards a quantum programming language
- Interacting quantum observables: categorical algebra and diagrammatics
- Categories for Quantum Theory
- Reconstruction of Quantum Theory
- Categories and Sheaves
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space