Key capacity with limited one-way communication for product sources

Jingbo Liu, Paul Cuff, Sergio Verdu
2014 2014 IEEE International Symposium on Information Theory  
We show that for product sources, rate splitting is optimal for secret key agreement using limited one-way communication at two terminals. This yields an alternative proof of the tensorization property of a strong data processing inequality originally studied by Erkip and Cover and amended recently by Anantharam et al. We derive a 'water-filling' solution of the communication-rate--key-rate tradeoff for two arbitrarily correlated vector Gaussian sources, for the case with an eavesdropper, and for stationary Gaussian processes.
doi:10.1109/isit.2014.6875012 dblp:conf/isit/LiuCV14 fatcat:2ekbvtnkmfh6tk2jgseaxtbhd4