States in generalized probabilistic models: An approach based in algebraic geometry

DOI10.1515/ms-2017-0202zbMath1497.81008arXiv1705.03045OpenAlexW2964265465MaRDI QIDQ4615840

César Massri, Angelo Plastino, Federico Holik

Publication date: 29 January 2019

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03045

zbMATH Keywords

lattice theoryalgebraic geometryquantum probabilityquantum statesinvariant statesnon-commutative measure theory

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Complemented lattices, orthocomplemented lattices and posets (06C15) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05) Set functions, measures and integrals with values in ordered spaces (28B15) Quantum state spaces, operational and probabilistic concepts (81P16)

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On the representation of measures over bounded lattices

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