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Identifying a Two-State Hamiltonian in the Presence of Decoherence

Jared H. Cole·Andrew D. Greentree·Daniel K. L. Oi·Sonia G. Schirmer·Cameron J. Wellard·Lloyd C. L. Hollenberg
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Abstract

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. For simple models of decoherence, this method can be applied even when the decoherence time is comparable to the oscillation period of the system.

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Jared H. Cole, Andrew D. Greentree, Daniel K. L. Oi, Sonia G. Schirmer, Cameron J. Wellard, Lloyd C. L. Hollenberg. 2006-06-28. Identifying a Two-State Hamiltonian in the Presence of Decoherence. https://doi.org/10.1103/physreva.73.062333

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