Sensitivity evolution in quantum Hamiltonian estimation
by Yanjun Zhang; Lu Wang; Jun Zhang
International Journal of Systems, Control and Communications (IJSCC), Vol. 9, No. 3, 2018

Abstract: In this paper we investigate the sensitivity evolution in estimating the unknown quantum Hamiltonian parameters. We apply Kullback-Liebler (KL) divergence to quantify the difference of quantum measurements between deviated and authentic parameter values. From explicit formula for the Fisher information matrix (FIM), we can calculate the second order approximation of the KL divergence. For several quantum mechanical systems, we use this analytical method to investigate the sensitivity evolution of estimating the underlying unknown parameters. We find that in all these examples the FIM is divergent, which indicates that it is possible to design an unbiased estimator that yields the unknown parameters precisely.

Online publication date: Wed, 25-Jul-2018

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