Artículo
Renyi-Holevo Inequality from α- z -Renyi Relative Entropies
Fecha de publicación:
04/2024
Editorial:
World Scientific
Revista:
International Journal Of Quantum Information
ISSN:
0219-7499
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We investigate bounds in the transmission of classical information through quantum systems. Our focus lies in the generalized Holevo theorem, which provides a single-letter Holevo-like inequality from arbitrary quantum distance measures. Through the introduction of the α-z-R´enyi relative entropies, which comprise known relevant quantities such as the R´enyi relative entropy and the sandwiched R´enyi relative entropy, we establish the Holevo-R´enyi inequality. This result leads to a quantum bound for the α-mutual information, suggesting new insights into communication channel performance and the fundamental limits for reliability functions in memoryless multi-letter communication channels.
Palabras clave:
Holevo Bound
,
Generalised Entropies
,
Information transmission
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Articulos(CCT - CORDOBA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos(IFLP)
Articulos de INST.DE FISICA LA PLATA
Articulos de INST.DE FISICA LA PLATA
Citación
Bussandri, Diego; Rajchel Mieldzioc, Grzegorz; Lamberti, Pedro Walter; Zyczkowski, Karol; Renyi-Holevo Inequality from α- z -Renyi Relative Entropies; World Scientific; International Journal Of Quantum Information; 4-2024; 1-14
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