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Problemy Peredachi Informatsii, 2006, Volume 42, Issue 4, Pages 23–40
(Mi ppi59)
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This article is cited in 3 scientific papers (total in 3 papers)
Information Theory
On the Structure of Optimal Sets for a Quantum Channel
M. E. Shirokov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
Special sets of states, called optimal, which are related to the Holevo capacity
and to the minimal output entropy of a quantum channel, are considered. By methods of
convex analysis and operator theory, structural properties of optimal sets and conditions of
their coincidence are explored for an arbitrary channel. It is shown that strong additivity of
the Holevo capacity for two given channels provides projective relations between optimal sets
for the tensor product of these channels and optimal sets for the individual channels.
Received: 12.01.2006 Revised: 08.08.2006
Citation:
M. E. Shirokov, “On the Structure of Optimal Sets for a Quantum Channel”, Probl. Peredachi Inf., 42:4 (2006), 23–40; Problems Inform. Transmission, 42:4 (2006), 282–297
Linking options:
https://www.mathnet.ru/eng/ppi59 https://www.mathnet.ru/eng/ppi/v42/i4/p23
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Abstract page: | 455 | Full-text PDF : | 79 | References: | 58 |
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