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An approximate quantum Hamiltonian identification algorithm using a Taylor expansion of the matrix exponential function

Wang, Yuanlong; Dong, Daoyi; Petersen, Ian

Description

An approximate quantum Hamiltonian identification algorithm is presented with the assumption that the system initial state and observation matrix can be set appropriately. We sample the system with a fixed period and using the sampled data we estimate the Hamiltonian based on a Taylor expansion of the matrix exponential function. We prove the estimation error is linear in the variance of the additive Gaussian noise. We also propose a heuristic formula to find the order of magnitude of the...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Conference paper
URI: http://hdl.handle.net/1885/199973
Source: 2017 IEEE 56th Annual Conference on Decision and Control, (CDC) 2017
DOI: 10.1109/CDC.2017.8264478
Access Rights: Open Access

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