dorsal/arxiv
View SchemaPerfect Quantum Error-Correcting Condition Revisited
| Authors | Tomohiro Ogawa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505167 |
| URL | https://arxiv.org/abs/quant-ph/0505167 |
Abstract
A simple and unifying method to show the perfect error-correcting condition is provided based on the quantum mutual information. The one-to-one parameterization of quantum operations and the properties of the quantum relative entropy are used effectively in this paper, where the equivalence between the subspace transmission and the entanglement transmission is clearly presented. We also revisit a variant of the no-cloning and no-deleting theorem based on an information-theoretical tradeoff between two parties for the reversibility of quantum operations, and demonstrate that the no-cloning and no-deleting theorem leads to the perfect error-correcting condition on Kraus operators.
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"abstract": "A simple and unifying method to show the perfect error-correcting condition\nis provided based on the quantum mutual information. The one-to-one\nparameterization of quantum operations and the properties of the quantum\nrelative entropy are used effectively in this paper, where the equivalence\nbetween the subspace transmission and the entanglement transmission is clearly\npresented. We also revisit a variant of the no-cloning and no-deleting theorem\nbased on an information-theoretical tradeoff between two parties for the\nreversibility of quantum operations, and demonstrate that the no-cloning and\nno-deleting theorem leads to the perfect error-correcting condition on Kraus\noperators.",
"arxiv_id": "quant-ph/0505167",
"authors": [
"Tomohiro Ogawa"
],
"categories": [
"quant-ph"
],
"title": "Perfect Quantum Error-Correcting Condition Revisited",
"url": "https://arxiv.org/abs/quant-ph/0505167"
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