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A one-shot family tree of quantum protocols

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We study a class of one-shot quantum protocols which can be arranged in a family tree within the resource framework of Quantum Information Theory. Obtaining a characterization of the optimal rates of the protocol which is at the apex of the family tree allows us to obtain expressions for the rates of all other protocols in the tree. Our one-shot results yield the traditionally known rates of these protocols in the asymptotic, memoryless scenario. In addition they also yield asymptotic rates of protocols involving correlated resources. Thus we provide a unifying mathematical framework for studying a class of quantum protocols involving arbitrary resources. This is joint work with Min-Hsiu Hsieh.

This talk is part of the CQIF Seminar series.

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