dorsal/arxiv
View SchemaNoise Threshold for a Fault-Tolerant Two-Dimensional Lattice Architecture
| Authors | Krysta M. Svore, David P. DiVincenzo, Barbara M. Terhal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604090 |
| URL | https://arxiv.org/abs/quant-ph/0604090 |
| Journal | Quant. Inf. Comp. Vol. 7, No. 4, pp. 297-318 (2007) |
Abstract
We consider a model of quantum computation in which the set of operations is limited to nearest-neighbor interactions on a 2D lattice. We model movement of qubits with noisy SWAP operations. For this architecture we design a fault-tolerant coding scheme using the concatenated [[7,1,3]] Steane code. Our scheme is potentially applicable to ion-trap and solid-state quantum technologies. We calculate a lower bound on the noise threshold for our local model using a detailed failure probability analysis. We obtain a threshold of 1.85 x 10^-5 for the local setting, where memory error rates are one-tenth of the failure rates of gates, measurement, and preparation steps. For the analogous nonlocal setting, we obtain a noise threshold of 3.61 x 10^-5. Our results thus show that the additional SWAP operations required to move qubits in the local model affect the noise threshold only moderately.
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"abstract": "We consider a model of quantum computation in which the set of operations is\nlimited to nearest-neighbor interactions on a 2D lattice. We model movement of\nqubits with noisy SWAP operations. For this architecture we design a\nfault-tolerant coding scheme using the concatenated [[7,1,3]] Steane code. Our\nscheme is potentially applicable to ion-trap and solid-state quantum\ntechnologies. We calculate a lower bound on the noise threshold for our local\nmodel using a detailed failure probability analysis. We obtain a threshold of\n1.85 x 10^-5 for the local setting, where memory error rates are one-tenth of\nthe failure rates of gates, measurement, and preparation steps. For the\nanalogous nonlocal setting, we obtain a noise threshold of 3.61 x 10^-5. Our\nresults thus show that the additional SWAP operations required to move qubits\nin the local model affect the noise threshold only moderately.",
"arxiv_id": "quant-ph/0604090",
"authors": [
"Krysta M. Svore",
"David P. DiVincenzo",
"Barbara M. Terhal"
],
"categories": [
"quant-ph"
],
"journal_ref": "Quant. Inf. Comp. Vol. 7, No. 4, pp. 297-318 (2007)",
"title": "Noise Threshold for a Fault-Tolerant Two-Dimensional Lattice Architecture",
"url": "https://arxiv.org/abs/quant-ph/0604090"
},
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