Information and The Brukner-Zeilinger Interpretation of Quantum Mechanics: A Critical Investigation

Details Information and The Brukner-Zeilinger Interpretation of Quantum Mechanics: A Critical Investigation Information and The Brukner-Zeilinger Interpretation of Quantum Mechanics: A Critical Investigation

2004-07-26

arxiv.org/abs/quant-ph/0407198v2

Foundations of Physics Letters, Vol. 19, No. 1, February 2006

Physics

Quantum Physics

20 pages, two figures, last version. Section 4 is replaced by a new argument. Other sections are improved. An appendix and new

Scientific paper

10.1007/s10702-006-1845-0

In Brukner and Zeilinger's interpretation of quantum mechanics, information is introduced as the most fundamental notion and the finiteness of information is considered as an essential feature of quantum systems. They also define a new measure of information which is inherently different from the Shannon information and try to show that the latter is not useful in defining the information content in a quantum object. Here, we show that there are serious problems in their approach which make their efforts unsatisfactory. The finiteness of information does not explain how objective results appear in experiments and what an instantaneous change in the so-called information vector (or catalog of knowledge) really means during the measurement. On the other hand, Brukner and Zeilinger's definition of a new measure of information may lose its significance, when the spin measurement of an elementary system is treated realistically. Hence, the sum of the individual measures of information may not be a conserved value in real experiments.

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