dorsal/arxiv
View SchemaOn channels with finite Holevo capacity
| Authors | M. E. Shirokov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602073 |
| URL | https://arxiv.org/abs/quant-ph/0602073 |
| Journal | Theory of Probability and its Applications, Vol. 53, No. 4, (2008), 732-750 |
Abstract
We consider a nontrivial class of infinite dimensional quantum channels characterized by finiteness of the Holevo capacity. Some general properties of channels of this class are described. In particular, a special sufficient condition of existence of an optimal measure is obtained and examples of channels with no optimal measure are constructed. It is shown that each channel with finite Holevo capacity has a natural extension to the set of all positive normalized functionals on the algebra of all bounded operators. General properties of such an extension are described. The class of infinite dimensional channels, for which the Holevo capacity can be explicitly determined, is considered.
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"abstract": "We consider a nontrivial class of infinite dimensional quantum channels\ncharacterized by finiteness of the Holevo capacity. Some general properties of\nchannels of this class are described. In particular, a special sufficient\ncondition of existence of an optimal measure is obtained and examples of\nchannels with no optimal measure are constructed.\n It is shown that each channel with finite Holevo capacity has a natural\nextension to the set of all positive normalized functionals on the algebra of\nall bounded operators. General properties of such an extension are described.\n The class of infinite dimensional channels, for which the Holevo capacity can\nbe explicitly determined, is considered.",
"arxiv_id": "quant-ph/0602073",
"authors": [
"M. E. Shirokov"
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],
"journal_ref": "Theory of Probability and its Applications, Vol. 53, No. 4,\n (2008), 732-750",
"title": "On channels with finite Holevo capacity",
"url": "https://arxiv.org/abs/quant-ph/0602073"
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