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One-shot information theory entertains a plethora of entropic quantities, such as the smooth max-divergence, hypothesis testing divergence and information spectrum divergence, that characterize various operational tasks and are used to prove the asymptotic behavior of various tasks in quantum information theory.
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M. Sion · 1958
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Privacy and interaction in quantum communication complexity and a theorem about the relative entropy of quantum states
R. Jain, J. Radhakrishnan, and P. Sen · 2002
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Security of Quantum Key Distribution
R. Renner · 2005
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Min- and Max- Relative Entropies and a New Entanglement Monotone
N. Datta · 2009
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A property of quantum relative entropy with an application to privacy in quantum communication
R. Jain, J. Radhakrishnan, and P. Sen · 2009
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Duality Between Smooth Min- and Max-Entropies
M. Tomamichel, R. Colbeck, and R. Renner · 2010
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Generalized Entropies
F. Dupuis, L. Kraemer, P. Faist, J. M. Renes, and R. Renner · 2012
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Short proofs of the quantum substate theorem
R. Jain and A. Nayak · 2012
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A Framework for Non-Asymptotic Quantum Information Theory
M. Tomamichel · 2012
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Sandwiched Rényi Divergence Satisfies Data Processing Inequality
S. Beigi · 2013
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On simultaneous min-entropy smoothing
L. Drescher and O. Fawzi · 2013
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Monotonicity of a Relative Rényi Entropy
R. L. Frank and E. H. Lieb · 2013
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On Quantum Rényi Entropies: A New Generalization and Some Properties
M. Müller-Lennert, F. Dupuis, O. Szehr, S. Fehr, and M. Tomamichel · 2013
Later among the works it cites.
A Hierarchy of Information Quantities for Finite Block Length Analysis of Quantum Tasks
M. Tomamichel and M. Hayashi · 2013
Later among the works it cites.
Strong Converse for the Classical Capacity of Entanglement-Breaking and Hadamard Channels via a Sandwiched Rényi Relative Entropy
M. M. Wilde, A. Winter, and D. Yang · 2014
Later among the works it cites.
A largely self-contained and complete security proof for quantum key distribution
M. Tomamichel and A. Leverrier · 2017
Later among the works it cites.
A one-shot quantum joint typicality lemma
P. Sen · 2018
Later among the works it cites.
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