Lossless quantum data compression with exponential penalization: An operational interpretation of the quantum Rényi entropy

Guido Bellomo, Gustavo M. Bosyk, Federico Holik, Steeve Zozor

Onderzoeksoutput: Articlepeer review

2 Citaten (Scopus)

Samenvatting

Based on the problem of quantum data compression in a lossless way, we present here an operational interpretation for the family of quantum Rényi entropies. In order to do this, we appeal to a very general quantum encoding scheme that satisfies a quantum version of the Kraft-McMillan inequality. Then, in the standard situation, where one is intended to minimize the usual average length of the quantum codewords, we recover the known results, namely that the von Neumann entropy of the source bounds the average length of the optimal codes. Otherwise, we show that by invoking an exponential average length, related to an exponential penalization over large codewords, the quantum Rényi entropies arise as the natural quantities relating the optimal encoding schemes with the source description, playing an analogous role to that of von Neumann entropy.

Originele taal-2English
Artikelnummer14765
Aantal pagina's10
TijdschriftScientific Reports - Nature
Volume7
Nummer van het tijdschrift1
DOI's
StatusPublished - 1 dec 2017

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