Symmetric informationally complete measurements identify the irreducible difference between classical and quantum systems
John B. DeBrota, Christopher A. Fuchs, Blake C. Stacey
Abstract
This paper presents a general procedure for generating a probabilistic representation of quantum theory from an informationally complete quantum measurement. This association advances a conception of the Born Rule as a consistency condition between the probabilities assigned to the outcomes of multiple distinct experiments, allowing for a direct comparison between classical and quantum probability theories.
Topics & Concepts
QuantumConsistency (knowledge bases)Probabilistic logicRepresentation (politics)Quantum probabilityMathematicsQuantum algorithmPure mathematicsDiscrete mathematicsComputer scienceAlgebra over a fieldStatistical physicsQuantum processQuantum mechanicsPhysicsStatisticsQuantum dynamicsLawPolitical sciencePoliticsQuantum Mechanics and ApplicationsQuantum Information and CryptographyStatistical Mechanics and Entropy