Compatibility of any pair of 2-outcome measurements characterizes the Choquet simplex

DOI10.1007/S11117-020-00742-0zbMath1479.46009arXiv1912.00563OpenAlexW3100594319MaRDI QIDQ830357

Yui Kuramochi

Publication date: 7 May 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.00563

zbMATH Keywords

Choquet simplexBauer simplexcompatibility of measurementsgeneral probabilistic theory

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Convex sets in topological linear spaces; Choquet theory (46A55) Ordered normed spaces (46B40) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (5)

Incompatibility of effects in general probabilistic models* ⋮ Incompatibility in restricted operational theories: connecting contextuality and steering ⋮ Random access test as an identifier of nonclassicality* ⋮ General probabilistic theories: an introduction ⋮ Decomposing all multipartite non-signalling channels via quasiprobabilistic mixtures of local channels in generalised probabilistic theories

Cites Work

• The predual of an order-unit Banach space
• An invitation to quantum incompatibility
• The Duality of Partially Ordered Normed Linear Spaces
• Unnamed Item

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