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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.

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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.

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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.
Funding AgencyGrant Number
Intelligence Advanced Research Projects ActivityW911NF-04-C-0098
Department of Energy (DOE)DE-FG03-92-ER40701
National Security AgencyW911NF-05-1-0294
Record Number:CaltechAUTHORS:ALInjp09
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13586
Deposited By: Arun Sannuti
Deposited On:27 May 2009 16:26
Last Modified:03 Oct 2019 00:40

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