Efficient error characterization in quantum information processing

Benjamin Lévi, Cecilia C. López, Joseph Emerson, and D. G. Cory
Phys. Rev. A 75, 022314 – Published 16 February 2007

Abstract

We describe how to use the fidelity decay as a tool to characterize the errors affecting a quantum information processor through a noise generator Gτ. For weak noise, the initial decay rate of the fidelity proves to be a simple way to measure the magnitude of the different terms in Gτ. When the generator has only terms associated with few-body couplings, our proposal is scalable. We present the explicit protocol for estimating the magnitude of the noise generators when the noise consists of only one- and two-body terms, and describe a method for measuring the parameters of more general noise models. The protocol focuses on obtaining the magnitude with which these terms affect the system during a time step of length τ; measurement of this information has critical implications for assessing the scalability of fault-tolerant quantum computation in any physical setup.

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  • Received 31 July 2006

DOI:https://doi.org/10.1103/PhysRevA.75.022314

©2007 American Physical Society

Authors & Affiliations

Benjamin Lévi1, Cecilia C. López1, Joseph Emerson2, and D. G. Cory1

  • 1Department of Nuclear Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 2Department of Applied Mathematics and Institute for Quantum Computing, University of Waterloo, Waterloo, ON N2L 3G1, Canada

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Vol. 75, Iss. 2 — February 2007

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