dorsal/arxiv
View SchemaAlgebraic and information-theoretic conditions for operator quantum error-correction
| Authors | Michael A. Nielsen, David Poulin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506069 |
| URL | https://arxiv.org/abs/quant-ph/0506069 |
| DOI | 10.1103/PhysRevA.75.064304 |
| Journal | Phys. Rev. A 064304(R) (2007) |
Abstract
Operator quantum error-correction is a technique for robustly storing quantum information in the presence of noise. It generalizes the standard theory of quantum error-correction, and provides a unified framework for topics such as quantum error-correction, decoherence-free subspaces, and noiseless subsystems. This paper develops (a) easily applied algebraic and information-theoretic conditions which characterize when operator quantum error-correction is feasible; (b) a representation theorem for a class of noise processes which can be corrected using operator quantum error-correction; and (c) generalizations of the coherent information and quantum data processing inequality to the setting of operator quantum error-correction.
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"abstract": "Operator quantum error-correction is a technique for robustly storing quantum\ninformation in the presence of noise. It generalizes the standard theory of\nquantum error-correction, and provides a unified framework for topics such as\nquantum error-correction, decoherence-free subspaces, and noiseless subsystems.\nThis paper develops (a) easily applied algebraic and information-theoretic\nconditions which characterize when operator quantum error-correction is\nfeasible; (b) a representation theorem for a class of noise processes which can\nbe corrected using operator quantum error-correction; and (c) generalizations\nof the coherent information and quantum data processing inequality to the\nsetting of operator quantum error-correction.",
"arxiv_id": "quant-ph/0506069",
"authors": [
"Michael A. Nielsen",
"David Poulin"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.75.064304",
"journal_ref": "Phys. Rev. A 064304(R) (2007)",
"title": "Algebraic and information-theoretic conditions for operator quantum error-correction",
"url": "https://arxiv.org/abs/quant-ph/0506069"
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