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Problemy Peredachi Informatsii, 2013, Volume 49, Issue 1, Pages 19–36
(Mi ppi2099)
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This article is cited in 17 scientific papers (total in 17 papers)
Coding Theory
On classical capacities of infinite-dimensional quantum channels
A. S. Holevo, M. E. Shirokov Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow
Abstract:
A coding theorem for entanglement-assisted communication via an infinite-dimensional quantum channel with linear constraints is extended to a natural degree of generality. Relations between the entanglement-assisted classical capacity and $\chi$-capacity of constrained channels are obtained, and conditions for their coincidence are given. Sufficient conditions for continuity of the entanglement-assisted classical capacity as a function of a channel are obtained. Some applications of the obtained results to analysis of Gaussian channels are considered. A general (continuous) version of the fundamental relation between coherent information and the measure of privacy of classical information transmission via an infinite-dimensional quantum channel is proved.
Received: 22.10.2012
Citation:
A. S. Holevo, M. E. Shirokov, “On classical capacities of infinite-dimensional quantum channels”, Probl. Peredachi Inf., 49:1 (2013), 19–36; Problems Inform. Transmission, 49:1 (2013), 15–31
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https://www.mathnet.ru/eng/ppi2099 https://www.mathnet.ru/eng/ppi/v49/i1/p19
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Abstract page: | 526 | Full-text PDF : | 99 | References: | 52 | First page: | 8 |
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