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. |
Year | DOI | Venue |
---|---|---|
2007 | 10.1109/ITA.2008.4601037 | 2008 INFORMATION THEORY AND APPLICATIONS WORKSHOP |
Keywords | Field | DocType |
carrying capacity,noise,entropy,artificial neural networks,quantum theory,quantum mechanics,photonics,quantum physics,entropy power inequality,information theory,electromagnetic waves,channel capacity | Information theory,Statistical physics,Entropy power inequality,Discrete mathematics,Gibbs' inequality,Joint quantum entropy,Quantum relative entropy,Shannon's source coding theorem,Joint entropy,Principle of maximum entropy,Classical mechanics,Mathematics | Journal |
Volume | Citations | PageRank |
abs/0710.5666 | 1 | 0.43 |
References | Authors | |
1 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Saikat Guha | 1 | 1546 | 116.91 |
Baris I. Erkmen | 2 | 13 | 2.78 |
Jeffrey H. Shapiro | 3 | 153 | 22.84 |