skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: On a quantum entropy power inequality of Audenaert, Datta, and Ozols

Abstract

We give a short proof of a recent inequality of Audenaert, Datta, and Ozols, and determine cases of equality.

Authors:
 [1];  [2];  [3]
  1. Department of Mathematics, Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019 (United States)
  2. Departments of Mathematics and Physics, Jadwin Hall, Princeton University, P.O. Box 708, Princeton, New Jersey 08542 (United States)
  3. School of Mathematics, Georgia Tech, Atlanta, Georgia 30332 (United States)
Publication Date:
OSTI Identifier:
22596845
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 57; Journal Issue: 6; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENTROPY; QUANTUM SYSTEMS; THERMODYNAMICS

Citation Formats

Carlen, Eric A., Lieb, Elliott H., and Loss, Michael. On a quantum entropy power inequality of Audenaert, Datta, and Ozols. United States: N. p., 2016. Web. doi:10.1063/1.4953638.
Carlen, Eric A., Lieb, Elliott H., & Loss, Michael. On a quantum entropy power inequality of Audenaert, Datta, and Ozols. United States. doi:10.1063/1.4953638.
Carlen, Eric A., Lieb, Elliott H., and Loss, Michael. Wed . "On a quantum entropy power inequality of Audenaert, Datta, and Ozols". United States. doi:10.1063/1.4953638.
@article{osti_22596845,
title = {On a quantum entropy power inequality of Audenaert, Datta, and Ozols},
author = {Carlen, Eric A. and Lieb, Elliott H. and Loss, Michael},
abstractNote = {We give a short proof of a recent inequality of Audenaert, Datta, and Ozols, and determine cases of equality.},
doi = {10.1063/1.4953638},
journal = {Journal of Mathematical Physics},
number = 6,
volume = 57,
place = {United States},
year = {Wed Jun 15 00:00:00 EDT 2016},
month = {Wed Jun 15 00:00:00 EDT 2016}
}
  • We propose a generalization of the quantum entropy power inequality involving conditional entropies. For the special case of Gaussian states, we give a proof based on perturbation theory for symplectic spectra. We discuss some implications for entanglement-assisted classical communication over additive bosonic noise channels.
  • Cited by 199
  • We analyze the thermodynamics of the noncommutative high-dimensional Schwarzschild-Tangherlini AdS black hole with the non-Gaussian smeared matter distribution by regarding a noncommutative parameter as an independent thermodynamic variable named as the noncommutative pressure . In the new extended phase space that includes this noncommutative pressure and its conjugate variable, we reveal that the noncommutative pressure and the original thermodynamic pressure related to the negative cosmological constant make the opposite effects in the phase transition of the noncommutative black hole, i.e. the former dominates the UV regime while the latter does the IR regime, respectively. In addition, by means of themore » reverse isoperimetric inequality, we indicate that only the black hole with the Gaussian smeared matter distribution holds the maximum entropy for a given thermodynamic volume among the noncommutative black holes with various matter distributions.« less
  • The quantitative quantum-mechanical analysis of the Einstein-Podolsky-Rosen experiment for correlated particles of arbitrary spin s is shown to contradict a generalized form of Bell's inequality, for suitable orientations of the detectors. As the classical (s ..-->.. infinity ) limit is approached, the range of angles for which the contradiction arises vanishes as 1/s.