Frank, Rupert L. and Lieb, Elliott H. (2012) Entropy and the Uncertainty Principle. Annales Henri Poincaré, 13 (8). pp. 1711-1717. ISSN 1424-0637. doi:10.1007/s00023-012-0175-y. https://resolver.caltech.edu/CaltechAUTHORS:20170501-103316603
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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.
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Additional Information: | © 2012 The Author. This paper may be reproduced, in its entirety, for noncommercial purposes. The work was partially supported by NSF Grants PHY-1068285 (R.L.F.) and PHY-0965859 (E.H.L.). | |||||||||||||||
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Issue or Number: | 8 | |||||||||||||||
DOI: | 10.1007/s00023-012-0175-y | |||||||||||||||
Record Number: | CaltechAUTHORS:20170501-103316603 | |||||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170501-103316603 | |||||||||||||||
Official Citation: | Frank, R.L. & Lieb, E.H. Ann. Henri Poincaré (2012) 13: 1711. doi:10.1007/s00023-012-0175-y | |||||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||||||||
ID Code: | 77103 | |||||||||||||||
Collection: | CaltechAUTHORS | |||||||||||||||
Deposited By: | Ruth Sustaita | |||||||||||||||
Deposited On: | 01 May 2017 18:41 | |||||||||||||||
Last Modified: | 15 Nov 2021 17:28 |
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