Applicability of coupling strength estimation for linear chains of restricted access**Project supported by Shanghai Sailing Program, China (Grant No. 16YF1412600) and the National Natural Science Foundation of China (Grant Nos. 11420101003, 11604347, 11827806, 11874368, and 91636105).

Abstract

The characterization of an unknown quantum system requires the Hamiltonian identification. The full access to the system, however, is usually restricted, hindering the direct retrieval of the relevant parameters, and a reliable indirect estimation is usually required. In this work, based on the reformulated form of the original algorithm of Burgarth et al. [Phys. Rev. A 79 020305 (2009)], the robustness of the estimation scheme against numerous sources of errors during the actual measurement is analyzed. The scheme is numerically studied for sites with a chain structure, exploring its applicability against observational errors including the limited signal-noise ratio and the finite spectral width. The spectral distribution of the end site is shown to determine the applicability of the method, and reducing the influence from truncated spectral components is critical to realize the robust reconstruction of the coupling strengths.