Brooks, Peter and Preskill, John (2013) Fault-tolerant quantum computation with asymmetric Bacon-Shor codes. Physical Review A, 87 (3). Art. No. 032310. ISSN 1050-2947. doi:10.1103/PhysRevA.87.032310. https://resolver.caltech.edu/CaltechAUTHORS:20130404-091531009
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Abstract
We develop a scheme for fault-tolerant quantum computation based on asymmetric Bacon-Shor codes, which works effectively against highly biased noise dominated by dephasing. We find the optimal Bacon-Shor block size as a function of the noise strength and the noise bias, and estimate the logical error rate and overhead cost achieved by this optimal code. Our fault-tolerant gadgets, based on gate teleportation, are well suited for hardware platforms with geometrically local gates in two dimensions.
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| Additional Information: | © 2013 American Physical Society. Received 9 November 2012; published 7 March 2013. This work was supported in part by the Intelligence Advanced Research Projects Activity (IARPA) via Department of Interior National Business Center Contract No. D11PC20165. The US Government is authorized to reproduce and distribute reprints for governmental purposes notwithstanding any copyright annotation thereon. The views and conclusions contained herein are those of the author and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of IARPA, DoI/NBC, or the US Government. We also acknowledge support from NSF Grant No. PHY-0803371, DOE Grant No. DE-FG03-92-ER40701, and NSA/ARO Grant No. W911NF-09-1-0442. The Institute for Quantum Information and Matter (IQIM) is anNSF Physics Frontiers Center with support from the Gordon and Betty Moore Foundation. | ||||||||||||||||
| Group: | Institute for Quantum Information and Matter, Caltech Theory | ||||||||||||||||
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| Issue or Number: | 3 | ||||||||||||||||
| Classification Code: | PACS: 03.67.Pp | ||||||||||||||||
| DOI: | 10.1103/PhysRevA.87.032310 | ||||||||||||||||
| Record Number: | CaltechAUTHORS:20130404-091531009 | ||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130404-091531009 | ||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||
| ID Code: | 37757 | ||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||||
| Deposited On: | 08 Apr 2013 21:34 | ||||||||||||||||
| Last Modified: | 09 Nov 2021 23:31 |
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