Entropy and the uncertainty principle

Details Entropy and the uncertainty principle Entropy and the uncertainty principle

2011-09-06

arxiv.org/abs/1109.1209v1

Physics

Mathematical Physics

6 pages

Scientific paper

We generalize, improve and unify theorems of Rumin, and Maassen--Uffink about classical entropies associated to quantum density matrices. These theorems refer to the classical entropies of the diagonals of a density matrix in two different bases. Thus they provide a kind of uncertainty principle. Our inequalities are sharp because they are exact in the high-temperature or semi-classical limit.

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