dorsal/arxiv
View SchemaSubsystem fault tolerance with the Bacon-Shor code
| Authors | Panos Aliferis, Andrew W. Cross |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610063 |
| URL | https://arxiv.org/abs/quant-ph/0610063 |
| DOI | 10.1103/PhysRevLett.98.220502 |
| Journal | Phys. Rev. Lett. 98 (2007) 220502 |
Abstract
We discuss how the presence of gauge sub-systems in the Bacon-Shor code [D. Bacon, Phys. Rev. A 73, 012340 (2006)] leads to remarkably simple and efficient methods for fault-tolerant error correction (FTEC). Most notably, FTEC does not require entangled ancillary states and it can be implemented with nearest-neighbor two-qubit measurements. By using these methods, we prove a lower bound on the quantum accuracy threshold, 1.94 \times 10^{-4} for adversarial stochastic noise, that improves previous lower bounds by nearly an order of magnitude.
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"abstract": "We discuss how the presence of gauge sub-systems in the Bacon-Shor code [D.\nBacon, Phys. Rev. A 73, 012340 (2006)] leads to remarkably simple and efficient\nmethods for fault-tolerant error correction (FTEC). Most notably, FTEC does not\nrequire entangled ancillary states and it can be implemented with\nnearest-neighbor two-qubit measurements. By using these methods, we prove a\nlower bound on the quantum accuracy threshold, 1.94 \\times 10^{-4} for\nadversarial stochastic noise, that improves previous lower bounds by nearly an\norder of magnitude.",
"arxiv_id": "quant-ph/0610063",
"authors": [
"Panos Aliferis",
"Andrew W. Cross"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.98.220502",
"journal_ref": "Phys. Rev. Lett. 98 (2007) 220502",
"title": "Subsystem fault tolerance with the Bacon-Shor code",
"url": "https://arxiv.org/abs/quant-ph/0610063"
},
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