Capacity of the bosonic wiretap channel and the Entropy Photon-Number Inequality

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

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

28 Scopus citations

Abstract

Determining the ultimate classical information carrying capacity of electromagnetic waves requires quantummechanical analysis to properly account for the bosonic nature of these waves. Recent work has established capacity theorems for bosonic single-user and broadcast 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. In this paper, it is shown that the second conjecture suffices to prove the classical capacity of the bosonic wiretap channel, which in turn would also prove the quantum capacity of the lossy bosonic channel. The preceding minimum output entropy conjectures are then shown to be simple consequences of an Entropy Photon-Number Inequality (EPnI), which is a conjectured quantum-mechanical analog of the Entropy Power Inequality (EPI) from classical information theory.

Original languageEnglish (US)
Title of host publicationProceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008
Pages91-95
Number of pages5
DOIs
StatePublished - Sep 29 2008
Externally publishedYes
Event2008 IEEE International Symposium on Information Theory, ISIT 2008 - Toronto, ON, Canada
Duration: Jul 6 2008Jul 11 2008

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8101

Other

Other2008 IEEE International Symposium on Information Theory, ISIT 2008
CountryCanada
CityToronto, ON
Period7/6/087/11/08

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

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    Guha, S., Shapiro, J. H., & Erkmen, B. I. (2008). Capacity of the bosonic wiretap channel and the Entropy Photon-Number Inequality. In Proceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008 (pp. 91-95). [4594954] (IEEE International Symposium on Information Theory - Proceedings). https://doi.org/10.1109/ISIT.2008.4594954