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We present chain rules for a new definition of the quantum R\'enyi conditional entropy sometimes called the "sandwiched" R\'enyi conditional entropy.
“One-shot decoupling”
Frédéric Dupuis, Mario Berta, Jürg Wullschleger and Renato Renner · 1990
Earlier work this paper cites.
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Earlier work this paper cites.
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Mario Berta · 2008
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Alexander Vitanov, Frédéric Dupuis, Marco Tomamichel and Renato Renner · 2013
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Martin Müller-Lennert, Frédéric Dupuis, Oleg Szehr, Serge Fehr and Marco Tomamichel · 2013
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