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On the Supposed Conceptual Inadequacy of the Shannon Information

Timpson, Christopher Gordon (2001) On the Supposed Conceptual Inadequacy of the Shannon Information. [Preprint]

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    In <em>Phys. Rev. A</em> <strong>63</strong> 022113 (2001), Brukner and Zeilinger claim 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(p), with regard to the definition of a notion of `total information content'. This argument is found unconvincing and the relationship betwen measures of information and notions of `total information content' investigated.

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    Item Type: Preprint
    Keywords: Shannon information, quantum information, information content, Zeilinger
    Subjects: Specific Sciences > Probability/Statistics
    Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Christopher Gordon Timpson
    Date Deposited: 13 Jan 2002
    Last Modified: 07 Oct 2010 11:10
    Item ID: 529

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