Details
| Original language | English |
|---|---|
| Title of host publication | Quantum Communication, Computing, and Measurement 3 |
| Editors | P Tombesi, O Hirota |
| Publisher | Kluwer Academic Publishers |
| Pages | 3-10 |
| Number of pages | 8 |
| ISBN (print) | 0-306-46609-0 |
| Publication status | Published - 2001 |
Abstract
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Quantum Communication, Computing, and Measurement 3. ed. / P Tombesi; O Hirota. Kluwer Academic Publishers, 2001. p. 3-10.
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - Additivity and multiplicativity problems for quantum communication channels
AU - Amosov, G. G.
AU - Holevo, A. S.
AU - Werner, R. F.
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
M3 - Contribution to book/anthology
SN - 0-306-46609-0
SP - 3
EP - 10
BT - Quantum Communication, Computing, and Measurement 3
A2 - Tombesi, P
A2 - Hirota, O
PB - Kluwer Academic Publishers
ER -