Abstract | ||
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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 |
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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 |
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Salman Beigi | 1 | 56 | 11.43 |
Amin Gohari | 2 | 144 | 21.81 |