dorsal/arxiv
View SchemaA Unified and Generalized Approach to Quantum Error Correction
| Authors | David Kribs, Raymond Laflamme, David Poulin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412076 |
| URL | https://arxiv.org/abs/quant-ph/0412076 |
| DOI | 10.1103/PhysRevLett.94.180501 |
| Journal | Phys. Rev. Lett. 94, 180501 (2005) |
Abstract
We present a unified approach to quantum error correction, called operator quantum error correction. This scheme relies on a generalized notion of noiseless subsystems that is not restricted to the commutant of the interaction algebra. We arrive at the unified approach, which incorporates the known techniques -- i.e. the standard error correction model, the method of decoherence-free subspaces, and the noiseless subsystem method -- as special cases, by combining active error correction with this generalized noiseless subsystem method. Moreover, we demonstrate that the quantum error correction condition from the standard model is a necessary condition for all known methods of quantum error correction.
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"abstract": "We present a unified approach to quantum error correction, called operator\nquantum error correction. This scheme relies on a generalized notion of\nnoiseless subsystems that is not restricted to the commutant of the interaction\nalgebra. We arrive at the unified approach, which incorporates the known\ntechniques -- i.e. the standard error correction model, the method of\ndecoherence-free subspaces, and the noiseless subsystem method -- as special\ncases, by combining active error correction with this generalized noiseless\nsubsystem method. Moreover, we demonstrate that the quantum error correction\ncondition from the standard model is a necessary condition for all known\nmethods of quantum error correction.",
"arxiv_id": "quant-ph/0412076",
"authors": [
"David Kribs",
"Raymond Laflamme",
"David Poulin"
],
"categories": [
"quant-ph",
"math.FA",
"math.OA"
],
"doi": "10.1103/PhysRevLett.94.180501",
"journal_ref": "Phys. Rev. Lett. 94, 180501 (2005)",
"title": "A Unified and Generalized Approach to Quantum Error Correction",
"url": "https://arxiv.org/abs/quant-ph/0412076"
},
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