TY - GEN
T1 - Capacity of the bosonic wiretap channel and the Entropy Photon-Number Inequality
AU - Guha, Saikat
AU - Shapiro, Jeffrey H.
AU - Erkmen, Baris I.
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
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U2 - 10.1109/ISIT.2008.4594954
DO - 10.1109/ISIT.2008.4594954
M3 - Conference contribution
AN - SCOPUS:52349085683
SN - 9781424422579
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 91
EP - 95
BT - Proceedings - 2008 IEEE International Symposium on Information Theory, ISIT 2008
T2 - 2008 IEEE International Symposium on Information Theory, ISIT 2008
Y2 - 6 July 2008 through 11 July 2008
ER -