Quantum Achievability Proof via Collision Relative Entropy

Salman Beigi; Amin Gohari

doi:10.1109/tit.2014.2361632

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arXiv · 1312.3822

Quantum Achievability Proof via Collision Relative Entropy

Salman Beigi·Amin Gohari

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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. (2013) 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.

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Salman Beigi, Amin Gohari. 2017-01-11. Quantum Achievability Proof via Collision Relative Entropy. https://doi.org/10.1109/tit.2014.2361632

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