dorsal/arxiv
View SchemaClassical information capacity of a class of quantum channels
| Authors | M. M. Wolf, J. Eisert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412133 |
| URL | https://arxiv.org/abs/quant-ph/0412133 |
| DOI | 10.1088/1367-2630/7/1/093 |
| Journal | New J. Phys. 7, 93 (2005) |
Abstract
We consider the additivity of the minimal output entropy and the classical information capacity of a class of quantum channels. For this class of channels the norm of the output is maximized for the output being a normalized projection. We prove the additivity of the minimal output Renyi entropies with entropic parameters contained in [0, 2], generalizing an argument by Alicki and Fannes, and present a number of examples in detail. In order to relate these results to the classical information capacity, we introduce a weak form of covariance of a channel. We then identify several instances of weakly covariant channels for which we can infer the additivity of the classical information capacity. Both additivity results apply to the case of an arbitrary number of different channels. Finally, we relate the obtained results to instances of bi-partite quantum states for which the entanglement cost can be calculated.
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"abstract": "We consider the additivity of the minimal output entropy and the classical\ninformation capacity of a class of quantum channels. For this class of channels\nthe norm of the output is maximized for the output being a normalized\nprojection. We prove the additivity of the minimal output Renyi entropies with\nentropic parameters contained in [0, 2], generalizing an argument by Alicki and\nFannes, and present a number of examples in detail. In order to relate these\nresults to the classical information capacity, we introduce a weak form of\ncovariance of a channel. We then identify several instances of weakly covariant\nchannels for which we can infer the additivity of the classical information\ncapacity. Both additivity results apply to the case of an arbitrary number of\ndifferent channels. Finally, we relate the obtained results to instances of\nbi-partite quantum states for which the entanglement cost can be calculated.",
"arxiv_id": "quant-ph/0412133",
"authors": [
"M. M. Wolf",
"J. Eisert"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1367-2630/7/1/093",
"journal_ref": "New J. Phys. 7, 93 (2005)",
"title": "Classical information capacity of a class of quantum channels",
"url": "https://arxiv.org/abs/quant-ph/0412133"
},
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