dorsal/arxiv
View SchemaQuantum Lost and Found
| Authors | M. Gregoratti, R. F. Werner |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209025 |
| URL | https://arxiv.org/abs/quant-ph/0209025 |
| DOI | 10.1080/09500340308234541 |
Abstract
We consider the problem of correcting the errors incurred from sending classical or quantum information through a noisy quantum environment by schemes using classical information obtained from a measurement on the environment. We give a conditions for quantum or classical information (prepared in a specified input basis B) to be corrigible based on a measurement M. Based on these criteria we give examples of noisy channels such that (1) no information can be corrected by such a scheme (2) for some basis B there is a correcting measurement M (3) for all bases B there is an M (4) there is a measurement M which allows perfect correction for all bases B. The last case is equivalent to the possibility of correcting quantum information, and turns out to be equivalent to the channel allowing a representation as a convex combination of isometric channels. Such channels are doubly stochastic but not conversely.
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"abstract": "We consider the problem of correcting the errors incurred from sending\nclassical or quantum information through a noisy quantum environment by schemes\nusing classical information obtained from a measurement on the environment. We\ngive a conditions for quantum or classical information (prepared in a specified\ninput basis B) to be corrigible based on a measurement M. Based on these\ncriteria we give examples of noisy channels such that (1) no information can be\ncorrected by such a scheme (2) for some basis B there is a correcting\nmeasurement M (3) for all bases B there is an M (4) there is a measurement M\nwhich allows perfect correction for all bases B. The last case is equivalent to\nthe possibility of correcting quantum information, and turns out to be\nequivalent to the channel allowing a representation as a convex combination of\nisometric channels. Such channels are doubly stochastic but not conversely.",
"arxiv_id": "quant-ph/0209025",
"authors": [
"M. Gregoratti",
"R. F. Werner"
],
"categories": [
"quant-ph"
],
"doi": "10.1080/09500340308234541",
"title": "Quantum Lost and Found",
"url": "https://arxiv.org/abs/quant-ph/0209025"
},
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