2
249
articles
https://scigraph.springernature.com/explorer/license/
en
research_article
http://link.springer.com/10.1007%2Fs00220-004-1116-5
true
2004-08
417-430
Several equivalent formulations of the additivity conjecture for constrained channels, which formally is substantially stronger than the unconstrained additivity, are given. To this end a characteristic property of the optimal ensemble for such a channel is derived, generalizing the maximal distance property. It is shown that the additivity conjecture for constrained channels holds true for certain nontrivial classes of channels. After giving an algebraic formulation for Shor’s channel extension, its main asymptotic property is proved. It is then used to show that additivity for two constrained channels can be reduced to the same problem for unconstrained channels, and hence, ‘‘global’’ additivity for channels with arbitrary constraints is equivalent to additivity without constraints.
2004-08-01
On Shor’s Channel Extension and Constrained Channels
2019-04-10T14:22
A.S.
Holevo
Moscow Institute of Physics and Technology
Moscow Institute of Physics and Technology, 141700, Moscow, Russia
0010-3616
1432-0916
Communications in Mathematical Physics
dimensions_id
pub.1046003655
Springer Nature - SN SciGraph project
Biological Sciences
doi
10.1007/s00220-004-1116-5
Biochemistry and Cell Biology
M.E.
Shirokov
Steklov Mathematical Institute, 119991, Moscow, Russia
Steklov Mathematical Institute
readcube_id
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