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

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. The...

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Detalles Bibliográficos
Autores principales: Bellomo, Guido, Bosyk, Gustavo Martín, Holik, Federico Hernán, Zozor, Steeve
Formato: Articulo
Lenguaje:Español
Publicado: 2017
Materias:
Física
Quantum information
Qubits
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/78694
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-78694
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Física
Quantum information
Qubits
spellingShingle Física
Quantum information
Qubits
Bellomo, Guido
Bosyk, Gustavo Martín
Holik, Federico Hernán
Zozor, Steeve
Lossless quantum data compression with exponential penalization: an operational interpretation of the quantum Rényi entropy
topic_facet Física
Quantum information
Qubits
description 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.
format Articulo
Articulo
author Bellomo, Guido
Bosyk, Gustavo Martín
Holik, Federico Hernán
Zozor, Steeve
author_facet Bellomo, Guido
Bosyk, Gustavo Martín
Holik, Federico Hernán
Zozor, Steeve
author_sort Bellomo, Guido
title Lossless quantum data compression with exponential penalization: an operational interpretation of the quantum Rényi entropy
title_short Lossless quantum data compression with exponential penalization: an operational interpretation of the quantum Rényi entropy
title_full Lossless quantum data compression with exponential penalization: an operational interpretation of the quantum Rényi entropy
title_fullStr Lossless quantum data compression with exponential penalization: an operational interpretation of the quantum Rényi entropy
title_full_unstemmed Lossless quantum data compression with exponential penalization: an operational interpretation of the quantum Rényi entropy
title_sort lossless quantum data compression with exponential penalization: an operational interpretation of the quantum rényi entropy
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/78694
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