The entropy photon-number inequality and its consequences

Saikat Guha, Baris I. Erkmen, Jeffrey H. Shapiro

Research output: Chapter in Book/Report/Conference proceedingConference contribution

22 Scopus citations

Abstract

Determining the ultimate classical information carrying capacity of electromagnetic waves requires quantum-mechanical analysis to properly account for the bosonic nature of these waves. Recent work has established capacity theorems for bosonic single-user, broadcast, and wiretap channels, under the presumption of two minimum output entropy conjectures. Despite considerable accumulated evidence that supports the validity of these conjectures, they have yet to be proven. Here we show that the preceding minimum output entropy conjectures are simple consequences of an Entropy Photon-Number Inequality, which is a conjectured quantum-mechanical analog of the Entropy Power Inequality from classical information theory.

Original languageEnglish (US)
Title of host publication2008 Information Theory and Applications Workshop - Conference Proceedings, ITA
Pages128-130
Number of pages3
DOIs
StatePublished - Oct 6 2008
Event2008 Information Theory and Applications Workshop - ITA - San Diego, CA, United States
Duration: Jan 27 2008Feb 1 2008

Publication series

Name2008 Information Theory and Applications Workshop - Conference Proceedings, ITA

Other

Other2008 Information Theory and Applications Workshop - ITA
CountryUnited States
CitySan Diego, CA
Period1/27/082/1/08

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ASJC Scopus subject areas

  • Computer Science Applications
  • Information Systems

Cite this

Guha, S., Erkmen, B. I., & Shapiro, J. H. (2008). The entropy photon-number inequality and its consequences. In 2008 Information Theory and Applications Workshop - Conference Proceedings, ITA (pp. 128-130). [4601037] (2008 Information Theory and Applications Workshop - Conference Proceedings, ITA). https://doi.org/10.1109/ITA.2008.4601037