Entropy and the Uncertainty Principle

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.

Item Type:

Article

Related URLs:

URL	URL Type	Description
http://dx.doi.org/10.1007/s00023-012-0175-y	DOI	Article
http://link.springer.com/article/10.1007/s00023-012-0175-y	Publisher	Article
https://arxiv.org/abs/1109.1209	arXiv	Discussion Paper
http://rdcu.be/rIut	Publisher	Free ReadCube access

ORCID:

Author	ORCID
Frank, Rupert L.	0000-0001-7973-4688
Lieb, Elliott H.	0000-0001-5843-3587

Additional Information:

Funders:

Funding Agency	Grant Number
NSF	PHY-1068285
NSF	PHY-0965859

Issue or Number:

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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