On the additivity hypothesis in quantum information theory

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Original languageRussian
Pages (from-to)25-34
Number of pages10
JournalProblemy Peredachi Informatsii
Volume36
Issue number4
Publication statusPublished - 2000

Abstract

Summary (translated from the Russian): which can be simply formulated but has not yet been solved, relates to the additivity of some characteristics of a quantum communication channel of `classical capacity' or `maximal output state purity' type with respect to the tensor product of channels. All known results, including numerical verification, are consistent with this hypothesis. An affirmative solution of this problem would mean, in particular, that the use of linked states will not increase classical capacity and would have important significance for quantum information theory. In the present paper we present a formulation of some additivity/multiplicativity problems, study the interrelations between them, and give a proof of partial results that support the hypothesis.rqq

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On the additivity hypothesis in quantum information theory. / Amosov, G. G.; Holevo, A. S.; Werner, R. F.
In: Problemy Peredachi Informatsii, Vol. 36, No. 4, 2000, p. 25-34.

Research output: Contribution to journalArticleResearchpeer review

Amosov, GG, Holevo, AS & Werner, RF 2000, 'On the additivity hypothesis in quantum information theory', Problemy Peredachi Informatsii, vol. 36, no. 4, pp. 25-34.
Amosov, G. G., Holevo, A. S., & Werner, R. F. (2000). On the additivity hypothesis in quantum information theory. Problemy Peredachi Informatsii, 36(4), 25-34.
Amosov GG, Holevo AS, Werner RF. On the additivity hypothesis in quantum information theory. Problemy Peredachi Informatsii. 2000;36(4):25-34.
Amosov, G. G. ; Holevo, A. S. ; Werner, R. F. / On the additivity hypothesis in quantum information theory. In: Problemy Peredachi Informatsii. 2000 ; Vol. 36, No. 4. pp. 25-34.
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AB - Summary (translated from the Russian): which can be simply formulated but has not yet been solved, relates to the additivity of some characteristics of a quantum communication channel of `classical capacity' or `maximal output state purity' type with respect to the tensor product of channels. All known results, including numerical verification, are consistent with this hypothesis. An affirmative solution of this problem would mean, in particular, that the use of linked states will not increase classical capacity and would have important significance for quantum information theory. In the present paper we present a formulation of some additivity/multiplicativity problems, study the interrelations between them, and give a proof of partial results that support the hypothesis.rqq

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