Identifying an experimental two-state Hamiltonian to arbitrary accuracy

Jared H. Cole, Sonia G. Schirmer, Andrew D. Greentree, Cameron J. Wellard, Daniel K. L. Oi, and Lloyd C. L. Hollenberg
Phys. Rev. A 71, 062312 – Published 14 June 2005

Abstract

Precision control of a quantum system requires accurate determination of the effective system Hamiltonian. We develop a method for estimating the Hamiltonian parameters for some unknown two-state system and providing uncertainty bounds on these parameters. This method requires only one measurement basis and the ability to initialize the system in some arbitrary state which is not an eigenstate of the Hamiltonian in question. The scaling of the uncertainty is studied for large numbers of measurements and found to be proportional to the reciprocal of the square root of the number of measurements.

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  • Received 20 January 2005

DOI:https://doi.org/10.1103/PhysRevA.71.062312

©2005 American Physical Society

Authors & Affiliations

Jared H. Cole1,*, Sonia G. Schirmer2, Andrew D. Greentree1, Cameron J. Wellard1, Daniel K. L. Oi2, and Lloyd C. L. Hollenberg1

  • 1Centre for Quantum Computer Technology, School of Physics, The University of Melbourne, Melbourne, Victoria 3010, Australia
  • 2Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, United Kingdom

  • *Electronic address: j.cole@physics.unimelb.edu.au

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Vol. 71, Iss. 6 — June 2005

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