dorsal/arxiv
View SchemaClassical Coding and the Cauchy-Schwarz Inequality
| Authors | Bas Janssens |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610229 |
| URL | https://arxiv.org/abs/quant-ph/0610229 |
| DOI | 10.1142/6942 |
| Journal | Quantum Stochastics and Information, Statistics, Filtering and Control, University of Nottingham, UK, 15-22 July 2006 |
Abstract
In classical coding, a single quantum state is encoded into classical information. Decoding this classical information in order to regain the original quantum state is known to be impossible. However, one can attempt to construct a state which comes as close as possible. We give bounds on the smallest possible trace distance between the original and the decoded state which can be reached. We give two approaches to the problem: one starting from Keyl and Werner's no-cloning theorem, and one starting from an operator-valued Cauchy-Schwarz inequality.
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"abstract": "In classical coding, a single quantum state is encoded into classical\ninformation. Decoding this classical information in order to regain the\noriginal quantum state is known to be impossible. However, one can attempt to\nconstruct a state which comes as close as possible. We give bounds on the\nsmallest possible trace distance between the original and the decoded state\nwhich can be reached. We give two approaches to the problem: one starting from\nKeyl and Werner\u0027s no-cloning theorem, and one starting from an operator-valued\nCauchy-Schwarz inequality.",
"arxiv_id": "quant-ph/0610229",
"authors": [
"Bas Janssens"
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"doi": "10.1142/6942",
"journal_ref": "Quantum Stochastics and Information, Statistics, Filtering and\n Control, University of Nottingham, UK, 15-22 July 2006",
"title": "Classical Coding and the Cauchy-Schwarz Inequality",
"url": "https://arxiv.org/abs/quant-ph/0610229"
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