Born's rule as a quantum extension of Bayesian coherence
John B. DeBrota, Christopher A. Fuchs, Jacques Pienaar, Blake C. Stacey
Abstract
The authors use Bayesian probability theory to extend the ``QBism'' interpretation of quantum mechanics by showing how one may derive Born's rule from a set of assumptions where the state and measurement are described relative to a ``reference measurement.'' The result gives insight into Born's rule, even if one does not support the subjective interpretation of quantum mechanics underlying QBism.
Topics & Concepts
Interpretations of quantum mechanicsConsistent historiesBayesian probabilityCoherence (philosophical gambling strategy)Interpretation (philosophy)Quantum probabilityExtension (predicate logic)MathematicsStatistical physicsQuantumQuantum mechanicsComputer sciencePhysicsQuantum processStatisticsQuantum dynamicsProgramming languageQuantum Mechanics and ApplicationsQuantum Information and CryptographyStatistical Mechanics and Entropy