Xiao, ShuixinLiang, WeichaoWang, YuanlongDong, DaoyiPetersen, Ian R.Ugrinovskii, Valery2025-05-232025-05-2397983503163390743-1546ORCID:/0000-0002-7425-3559/work/184100364http://www.scopus.com/inward/record.url?scp=86000543384&partnerID=8YFLogxKhttps://hdl.handle.net/1885/733752015The estimation of all the parameters in an unknown quantum state/measurement device, commonly referred to as quantum state/detector tomography (QST/QDT), plays a pivotal role in characterization and control of quantum systems. In this paper, we introduce a novel method to concurrently identify a quantum state and a detector using multiple Hamiltonians. We then develop two solutions, i.e., a closed-form algorithm and the sum of squares (SOS) optimization. The numerical examples demonstrate that the closed-form solution offers computational efficiency, while the SOS optimization method ensures accuracy.6enPublisher Copyright: © 2024 IEEE.202410.1109/CDC56724.2024.1088589886000543384