Unique Information and Secret Key Decompositions
Information Theory
2019-12-10 v1 Cryptography and Security
math.IT
Abstract
The unique information () is an information measure that quantifies a deviation from the Blackwell order. We have recently shown that this quantity is an upper bound on the one-way secret key rate. In this paper, we prove a triangle inequality for the , which implies that the is never greater than one of the best known upper bounds on the two-way secret key rate. We conjecture that the lower bounds the two-way rate and discuss implications of the conjecture.
Cite
@article{arxiv.1901.08007,
title = {Unique Information and Secret Key Decompositions},
author = {Johannes Rauh and Pradeep Kr. Banerjee and Eckehard Olbrich and Jürgen Jost},
journal= {arXiv preprint arXiv:1901.08007},
year = {2019}
}
Comments
7 pages