Local tomography and the Jordan structure of quantum theory

DOI10.1007/s10701-014-9777-1zbMath1302.81079arXiv1202.4513OpenAlexW2058794155WikidataQ62117285 ScholiaQ62117285MaRDI QIDQ474828

Alexander Wilce, Howard Barnum

Publication date: 25 November 2014

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4513

zbMATH Keywords

Jordan algebrasgeneral probabilistic theorieslocal tomography

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum measurement theory, state operations, state preparations (81P15) Quantum state estimation, approximate cloning (81P50)

Related Items (12)

Some Nearly Quantum Theories ⋮ On the origin of nonclassicality in single systems ⋮ Locally Tomographic Shadows (Extended Abstract) ⋮ Dynamical States and the Conventionality of (Non-) Classicality ⋮ Ensemble steering, weak self-duality, and the structure of probabilistic theories ⋮ Quantum theory and determinism ⋮ Information theoretic characterization of physical theories with projective state space ⋮ Is quantum mechanics exact? ⋮ A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras ⋮ Local tomography and the role of the complex numbers in quantum mechanics ⋮ Sequential product spaces are Jordan algebras ⋮ Decomposing all multipartite non-signalling channels via quasiprobabilistic mixtures of local channels in generalised probabilistic theories

Uses Software

• QPL

Cites Work

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