Volume of classical and quantum ensembles: geometric approach to entropy and information

نویسنده

  • Michael J. W. Hall
چکیده

It is shown for classical and quantum ensembles that there is a unique quantity which has the properties of a “volume”. This quantity is a function of the ensemble entropy, and hence provides a geometric interpretation for the latter. It further provides a simple geometric picture for deriving and unifying a number of results in classical and quantum information theory, and for discussing entropic uncertainty relations. PACS Numbers: 05.30.Ch, 03.65.Bz, 03.67.-a, 05.20.Gg

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تاریخ انتشار 1998