dorsal/arxiv
View SchemaInformation transmission through a noisy quantum channel
| Authors | Howard Barnum, M. A. Nielsen, Benjamin Schumacher |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9702049 |
| URL | https://arxiv.org/abs/quant-ph/9702049 |
| DOI | 10.1103/PhysRevA.57.4153 |
Abstract
Noisy quantum channels may be used in many information carrying applications. We show that different applications may result in different channel capacities. Upper bounds on several of these capacities are proved. These bounds are based on the coherent information, which plays a role in quantum information theory analogous to that played by the mutual information in classical information theory. Many new properties of the coherent information and entanglement fidelity are proved. Two non-classical features of the coherent information are demonstrated: the failure of subadditivity, and the failure of the pipelining inequality. Both properties arise as a consequence of quantum entanglement, and give quantum information new features not found in classical information theory. The problem of a noisy quantum channel with a classical observer measuring the environment is introduced, and bounds on the corresponding channel capacity proved. These bounds are always greater than for the unobserved channel. We conclude with a summary of open problems.
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"abstract": "Noisy quantum channels may be used in many information carrying applications.\nWe show that different applications may result in different channel capacities.\nUpper bounds on several of these capacities are proved. These bounds are based\non the coherent information, which plays a role in quantum information theory\nanalogous to that played by the mutual information in classical information\ntheory. Many new properties of the coherent information and entanglement\nfidelity are proved. Two non-classical features of the coherent information are\ndemonstrated: the failure of subadditivity, and the failure of the pipelining\ninequality. Both properties arise as a consequence of quantum entanglement, and\ngive quantum information new features not found in classical information\ntheory. The problem of a noisy quantum channel with a classical observer\nmeasuring the environment is introduced, and bounds on the corresponding\nchannel capacity proved. These bounds are always greater than for the\nunobserved channel. We conclude with a summary of open problems.",
"arxiv_id": "quant-ph/9702049",
"authors": [
"Howard Barnum",
"M. A. Nielsen",
"Benjamin Schumacher"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.57.4153",
"title": "Information transmission through a noisy quantum channel",
"url": "https://arxiv.org/abs/quant-ph/9702049"
},
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