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Fault-tolerant computing with biased-noise superconducting qubits: a case study

Aliferis, P. and Brito, F. and DiVincenzo, D. P. and Preskill, J. and Steffen, M. and Terhal, B. M. (2009) Fault-tolerant computing with biased-noise superconducting qubits: a case study. New Journal of Physics, 11 . 013061. ISSN 1367-2630. http://resolver.caltech.edu/CaltechAUTHORS:ALInjp09

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Abstract

We present a universal scheme of pulsed operations suitable for the IBM oscillator-stabilized flux qubit comprising the controlled-sigma(z) (CPHASE) gate, single-qubit preparations and measurements. Based on numerical simulations, we argue that the error rates for these operations can be as low as about 0.5% and that noise is highly biased, with phase errors being stronger than all other types of errors by a factor of nearly 10^3. In contrast, the design of a controlled σ(x) (CNOT) gate for this system with an error rate of less than about 1.2% seems extremely challenging. We propose a special encoding that exploits the noise bias allowing us to implement a logical CNOT gate where phase errors and all other types of errors have nearly balanced rates of about 0.4%. Our results illustrate how the design of an encoding scheme can be adjusted and optimized according to the available physical operations and the particular noise characteristics of experimental devices.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/1367-2630/11/1/013061DOIArticle
http://www.iop.org/EJ/abstract/1367-2630/11/1/013061/PublisherArticle
Additional Information:© IOP Publishing Ltd and Deutsche Physikalische Gesellschaft DDV and BMT have been partly supported by IARPA under ARO contract no. W911NF-04-C-0098. JP 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
Intelligence Advanced Research Projects ActivityW911NF-04-C-0098
Department of Energy (DOE)DE-FG03-92-ER40701
NSFPHY-0456720
National Security AgencyW911NF-05-1-0294
Record Number:CaltechAUTHORS:ALInjp09
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:ALInjp09
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13586
Collection:CaltechAUTHORS
Deposited By: Arun Sannuti
Deposited On:27 May 2009 16:26
Last Modified:18 Apr 2017 22:37

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