Foundations of Physics 21 (3):323-341 (1991)

Authors
Jos Uffink
University of Minnesota
Abstract
The concepts of uncertainty in prediction and inference are introduced and illustrated using the diffraction of light as an example. The close relationship between the concepts of uncertainty in inference and resolving power is noted. A general quantitative measure of uncertainty in inference can be obtained by means of the so-called statistical distance between probability distributions. When applied to quantum mechanics, this distance leads to a measure of the distinguishability of quantum states, which essentially is the absolute value of the matrix element between the states. The importance of this result to the quantum mechanical uncertainty principle is noted. The second part of the paper provides a derivation of the statistical distance on the basis of the so-called method of support
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DOI 10.1007/BF01883638
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References found in this work BETA

Logic of Statistical Inference.Ian Hacking - 1976 - Cambridge University Press.
Likelihood.A. W. F. Edwards - 1972 - Cambridge University Press.
Theory of Probability.Ernest Nagel - 1940 - Journal of Philosophy 37 (19):524-528.

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Citations of this work BETA

Can the Maximum Entropy Principle Be Explained as a Consistency Requirement?Jos Uffink - 1995 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 26 (3):223-261.
Thermodynamic Uncertainty Relations.Jos Uffink & Janneke van Lith - 1999 - Foundations of Physics 29 (5):655-692.
Contextual Quantum Process Theory.Dick J. Hoekzema - 1992 - Foundations of Physics 22 (4):467-486.

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