TY - GEN
T1 - The entropy photon-number inequality and its consequences
AU - Guha, Saikat
AU - Erkmen, Baris I.
AU - Shapiro, Jeffrey H.
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
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U2 - 10.1109/ITA.2008.4601037
DO - 10.1109/ITA.2008.4601037
M3 - Conference contribution
AN - SCOPUS:52949089692
SN - 1424426707
SN - 9781424426706
T3 - 2008 Information Theory and Applications Workshop - Conference Proceedings, ITA
SP - 128
EP - 130
BT - 2008 Information Theory and Applications Workshop - Conference Proceedings, ITA
T2 - 2008 Information Theory and Applications Workshop - ITA
Y2 - 27 January 2008 through 1 February 2008
ER -