Uncertainty in prediction and in inference
Foundations of Physics 21 (3):323-341 (1991)
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 supportAuthor's Profile
DOI
10.1007/bf01883638
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Citations of this work
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Thermodynamic Uncertainty Relations.Jos Uffink & Janneke van Lith - 1999 - Foundations of Physics 29 (5):655-692.
Paradojas Epistémicas en la Aproximación Informacional a la Física Térmica.Javier Anta - 2020 - Principia: An International Journal of Epistemology 24 (3):477-501.
References found in this work
Uncertainty principle and uncertainty relations.J. B. M. Uffink & Jan Hilgevoord - 1985 - Foundations of Physics 15 (9):925-944.