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Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2010, Issue 3, Pages 39–46 (Mi itvs21)  

QUANTUM COMPUTER SCIENCE

Quantum information theory. Channels and capacities

A. S. Holevo

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: Quantum information theory studies general laws of information storage and transmission in the systems obeying quantum mechanics, by using mathematical models of information processors – communication channels – for investigation of potential capabilities of such systems and elaborating the principles of their rational and reliable design.
The notion of channel capacity is central in the classical information theory. It turns out that in the quantum case this notion splits into the whole spectrum of information characteristics of a quantum channel. This paper presents a survey of the main concepts and results, gives formulation of the «coding theorems» providing analytical expressions for the capacities of quantum communication channels on terms of entropic quantities, stressing the special role played by the quantum property of entanglement.

Keywords: quantum communication channel, entropy, channel capacities, quantum entanglement.

Full text: PDF file (268 kB)

Citation: A. S. Holevo, “Quantum information theory. Channels and capacities”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2010, no. 3, 39–46

Citation in format AMSBIB
\Bibitem{Hol10}
\by A.~S.~Holevo
\paper Quantum information theory. Channels and capacities
\jour Informatsionnye Tekhnologii i Vychslitel'nye Sistemy
\yr 2010
\issue 3
\pages 39--46
\mathnet{http://mi.mathnet.ru/itvs21}


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