Additivity and multiplicativity problems for quantum communication channels

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OriginalspracheEnglisch
Titel des SammelwerksQuantum Communication, Computing, and Measurement 3
Herausgeber/-innenP Tombesi, O Hirota
Herausgeber (Verlag)Kluwer Academic Publishers
Seiten3-10
Seitenumfang8
ISBN (Print)0-306-46609-0
PublikationsstatusVeröffentlicht - 2001

Abstract

A class of problems in quantum information theory, having an elementary formulation but still resisting solution, concerns the additivity properties of various quantities characterizing quantum channels, notably the classical capacity, and the maximal output purity. All known results, including extensive numerical work, are consistent with the conjecture that these quantities are indeed additive (resp, multiplicative) with respect to tensor products of channels. A proof of this conjecture would have important consequences in quantum information theory. In particular, according to this conjecture, the classical capacity or the maximal purity of outputs cannot be increased by using entangled inputs of the channel. In this paper we state the additivity/multiplicativity problems, give some relations between them, and prove some new partial results, which also support the conjecture.

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Additivity and multiplicativity problems for quantum communication channels. / Amosov, G. G.; Holevo, A. S.; Werner, R. F.
Quantum Communication, Computing, and Measurement 3. Hrsg. / P Tombesi; O Hirota. Kluwer Academic Publishers, 2001. S. 3-10.

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandBeitrag in Buch/SammelwerkForschungPeer-Review

Amosov, GG, Holevo, AS & Werner, RF 2001, Additivity and multiplicativity problems for quantum communication channels. in P Tombesi & O Hirota (Hrsg.), Quantum Communication, Computing, and Measurement 3. Kluwer Academic Publishers, S. 3-10.
Amosov, G. G., Holevo, A. S., & Werner, R. F. (2001). Additivity and multiplicativity problems for quantum communication channels. In P. Tombesi, & O. Hirota (Hrsg.), Quantum Communication, Computing, and Measurement 3 (S. 3-10). Kluwer Academic Publishers.
Amosov GG, Holevo AS, Werner RF. Additivity and multiplicativity problems for quantum communication channels. in Tombesi P, Hirota O, Hrsg., Quantum Communication, Computing, and Measurement 3. Kluwer Academic Publishers. 2001. S. 3-10
Amosov, G. G. ; Holevo, A. S. ; Werner, R. F. / Additivity and multiplicativity problems for quantum communication channels. Quantum Communication, Computing, and Measurement 3. Hrsg. / P Tombesi ; O Hirota. Kluwer Academic Publishers, 2001. S. 3-10
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