Ensemble steering, weak self-duality, and the structure of probabilistic theories

DOI10.1007/s10701-013-9752-2zbMath1286.81020arXiv0912.5532OpenAlexW2011246386WikidataQ62117286 ScholiaQ62117286MaRDI QIDQ2442021

Alexander Wilce, Howard Barnum, Carl Philipp Gaebler

Publication date: 31 March 2014

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

Full work available at URL: https://arxiv.org/abs/0912.5532

zbMATH Keywords

self-dualitysteeringprobabilistic theoriesnon-signaling states

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) General and philosophical questions in quantum theory (81P05) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (17)

Symmetry, compact closure and dagger compactness for categories of convex operational models ⋮ Ultimate data hiding in quantum mechanics and beyond ⋮ Division algebras and quantum theory ⋮ Operational axioms for diagonalizing states ⋮ General probabilistic theories: an introduction ⋮ Local tomography and the Jordan structure of quantum theory ⋮ Uncertainty principle guarantees genuine source of intrinsic randomness ⋮ Entanglement and thermodynamics in general probabilistic theories ⋮ Universal gaps for XOR games from estimates on tensor norm ratios ⋮ Local tomography and the role of the complex numbers in quantum mechanics ⋮ Information transfer in generalized probabilistic theories based on weak repeatability ⋮ Several foundational and information theoretic implications of Bell’s theorem ⋮ Measurement incompatibility and Schrödinger-Einstein-Podolsky-Rosen steering in a class of probabilistic theories ⋮ Entropy of mixing exists only for classical and quantum-like theories among the regular polygon theories ⋮ Decomposing all multipartite non-signalling channels via quasiprobabilistic mixtures of local channels in generalised probabilistic theories ⋮ Entropic uncertainty relations in a class of generalized probabilistic theories ⋮ Assemblages and steering in general probabilistic theories

Cites Work

• Local tomography and the Jordan structure of quantum theory
• Die Geodätischen von Positivitätsbereichen
• Tensor products and probability weights
• On a characterization of the state space of quantum mechanics
• Tensor products in generalized measure theory
• The operational approach to algebraic quantum theory. I
• An operational approach to quantum probability
• Information Processing in Convex Operational Theories
• Entropy and information causality in general probabilistic theories
• Towards quantum gravity: a framework for probabilistic theories with non-fixed causal structure
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