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

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

1998-06-04

arxiv.org/abs/quant-ph/9806013v1

Physics

Quantum Physics

11 pages, 2 figures (warning: rejected by PRL!)

Scientific paper

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 geometric picture for deriving and unifying a number of results in classical and quantum information theory, and for discussing entropic uncertainty relations.

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