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Problemy Peredachi Informatsii, 2008, Volume 44, Issue 2, Pages 3–22 (Mi ppi1267)  
This article is cited in 32 scientific papers (total in 32 papers)

Information Theory

On Approximation of Infinite-Dimensional Quantum Channels

M. E. Shirokov, A. S. Holevo

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (1233 kB) Citations (32)
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Abstract: We develop an approximation approach to infinite-dimensional quantum channels based on a detailed investigation of continuity properties of entropic characteristics of quantum channels and operations (trace-nonincreasing completely positive maps) as functions of a pair “channel, input state.” Obtained results are then applied to the problems of continuity of the $\chi$-capacity as a function of a channel, strong additivity of the $\chi$-capacity for infinite-dimensional channels, and approximating representation for the convex closure of the output entropy of an arbitrary quantum channel.
Received: 11.12.2007
English version:
Problems of Information Transmission, 2008, Volume 44, Issue 2, Pages 73–90
DOI: https://doi.org/10.1134/S0032946008020014
Bibliographic databases:
Document Type: Article
UDC: 621.391.1
Language: Russian
Citation: M. E. Shirokov, A. S. Holevo, “On Approximation of Infinite-Dimensional Quantum Channels”, Probl. Peredachi Inf., 44:2 (2008), 3–22; Problems Inform. Transmission, 44:2 (2008), 73–90
Citation in format AMSBIB
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    References:71
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