Abstract
It is well known that a Shannon-based definition of information entropy leads in the classical case to the Boltzmann entropy. It is tempting to regard the von Neumann entropy as the corresponding quantum-mechanical definition. But the latter is problematic from the quantum information point of view. Consequently, we introduce a new definition of entropy that reflects the inherent uncertainty of quantum-mechanical states. We derive for it an explicit expression, and discuss some of its general properties. We distinguish between the minimum uncertainty entropy of pure states, and the excess statistical entropy of mixtures.
Original language | English |
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Pages (from-to) | 700-706 |
Number of pages | 7 |
Journal | Europhysics Letters |
Volume | 67 |
Issue number | 5 |
DOIs | |
State | Published - 1 Sep 2004 |
ASJC Scopus subject areas
- General Physics and Astronomy