The information entropy of quantum mechanical states

Details The information entropy of quantum mechanical states The information entropy of quantum mechanical states

2004-01-06

arxiv.org/abs/quant-ph/0401021v2

Europhysics Letters 67, 700 (2004)

Physics

Quantum Physics

7 pages, 1 figure

Scientific paper

10.1209/epl/i2004-10110-1

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 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.

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