Title
Quantum Achievability Proof via Collision Relative Entropy
Abstract
In this paper, we provide a simple framework for deriving one-shot achievable bounds for some problems in quantum information theory. Our framework is based on the joint convexity of the exponential of the collision relative entropy and is a (partial) quantum generalization of the technique of Yassaee et al. from classical information theory. Based on this framework, we derive one-shot achievable bounds for the problems of communication over classical-quantum channels, quantum hypothesis testing, and classical data compression with quantum side information. We argue that our one-shot achievable bounds are strong enough to give the asymptotic achievable rates of these problems even up to the second order.
Year
DOI
Venue
2013
10.1109/TIT.2014.2361632
Information Theory, IEEE Transactions  
Keywords
DocType
Volume
data compression,entropy,quantum communication,asymptotic achievable rates,classical data compression,classical-quantum channels,collision relative entropy,communication channels,one-shot achievable bounds,partial quantum generalization,quantum hypothesis testing,quantum information theory,quantum side information,Classical-quantum channel coding,achievability proof,collision relative entropy,information spectrum method,second order asymptotics
Journal
60
Issue
ISSN
Citations 
12
0018-9448
11
PageRank 
References 
Authors
0.59
16
2
Name
Order
Citations
PageRank
Salman Beigi15611.43
Amin Gohari214421.81