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Fault-tolerant quantum computation against biased noise

Aliferis, Panos and Preskill, John (2008) Fault-tolerant quantum computation against biased noise. Physical Review A, 78 (5). Art. No. 052331. ISSN 1050-2947. doi:10.1103/PhysRevA.78.052331. https://resolver.caltech.edu/CaltechAUTHORS:ALIpra08

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Abstract

We formulate a scheme for fault-tolerant quantum computation that works effectively against highly biased noise, where dephasing is far stronger than all other types of noise. In our scheme, the fundamental operations performed by the quantum computer are single-qubit preparations, single-qubit measurements, and conditional-phase (CPHASE) gates, where the noise in the CPHASE gates is biased. We show that the accuracy threshold for quantum computation can be improved by exploiting this noise asymmetry; e.g., if dephasing dominates all other types of noise in the CPHASE gates by four orders of magnitude, we find a rigorous lower bound on the accuracy threshold higher by a factor of 5 than for the case of unbiased noise.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevA.78.052331DOIUNSPECIFIED
http://link.aps.org/abstract/PRA/v78/e052331PublisherUNSPECIFIED
Additional Information:© 2008 The American Physical Society. (Received 29 September 2008; published 19 November 2008) We thank David DiVincenzo, Daniel Gottesman, and Gabriel Mendoza for useful discussions. This research is supported in part by DOE under Grant No. DE-FG03-92-ER40701, NSF under Grant No. PHY-0456720, and NSA under ARO Contract No. W911NF-05-1-0294.
Funders:
Funding AgencyGrant Number
Department of EnergyDE-FG03-92-ER40701
National Science FoundationPHY-0456720
Army Research OfficeW911NF-05-1-0294
Subject Keywords:quantum gates; quantum noise
Issue or Number:5
DOI:10.1103/PhysRevA.78.052331
Record Number:CaltechAUTHORS:ALIpra08
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:ALIpra08
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12417
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:25 Nov 2008 17:34
Last Modified:08 Nov 2021 22:28

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