On a supposed conceptual inadequacy of the Shannon information in quantum mechanics

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):441-468 (2003)
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Abstract

Recently, Brukner and Zeilinger 3354) have claimed that the Shannon information is not well defined as a measure of information in quantum mechanics, adducing arguments that seek to show that it is inextricably tied to classical notions of measurement. It is shown here that these arguments do not succeed: the Shannon information does not have problematic ties to classical concepts. In a further argument, Brukner and Zeilinger compare the Shannon information unfavourably to their preferred information measure, I , with regard to the definition of a notion of “total information content.” This argument is found unconvincing and the relationship between individual measures of information and notions of “total information content” investigated. We close by considering the prospects of Zeilinger's Foundational Principle as a foundational principle for quantum mechanics

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Chris Timpson
Oxford University

References found in this work

A Mathematical Theory of Communication.Claude Elwood Shannon - 1948 - Bell System Technical Journal 27 (April 1924):379–423.
Interpreting the Quantum World.Jeffrey Bub - 1998 - British Journal for the Philosophy of Science 49 (4):637-641.
A Foundational Principle for Quantum Mechanics.Anton Zeilinger - 1999 - Foundations of Physics 29 (4):631-643.

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