Abstract
We generalize, improve and unify theorems of Rumin, and Maassen-Uffink about classical entropies associated with 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.
Original language | English (US) |
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Pages (from-to) | 1711-1717 |
Number of pages | 7 |
Journal | Annales Henri Poincare |
Volume | 13 |
Issue number | 8 |
DOIs | |
State | Published - Dec 2012 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Nuclear and High Energy Physics
- Mathematical Physics