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Identifying a two-state Hamiltonian in the presence of decoherence

Cole, Jared H. and Greentree, Andrew D. and Oi, Daniel K. L. and Schirmer, Sonia G. and Wellard, Cameron J. and Hollenberg, Lloyd C. L. (2006) Identifying a two-state Hamiltonian in the presence of decoherence. Physical Review A, 73 (6). -. ISSN 1094-1622

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Mapping the system evolution of a two-state system allows the determination of the effective system Hamiltonian directly. We show how this can be achieved even if the system is decohering appreciably over the observation time. A method to include various decoherence models is given and the limits of this technique are explored. This technique is applicable both to the problem of calibrating a control Hamiltonian for quantum computing applications and for precision experiments in two-state quantum systems. The accuracy of the results obtained with this technique are ultimately limited by the validity of the decoherence model used.