TY - GEN
T1 - Simultaneous quantum state and detector tomography through multiple Hamiltonians
AU - Xiao, Shuixin
AU - Liang, Weichao
AU - Wang, Yuanlong
AU - Dong, Daoyi
AU - Petersen, Ian R.
AU - Ugrinovskii, Valery
N1 - Publisher Copyright:
© 2024 IEEE.
PY - 2024
Y1 - 2024
N2 - The 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.
AB - The 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.
UR - http://www.scopus.com/inward/record.url?scp=86000543384&partnerID=8YFLogxK
U2 - 10.1109/CDC56724.2024.10885898
DO - 10.1109/CDC56724.2024.10885898
M3 - Conference contribution
AN - SCOPUS:86000543384
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 19
EP - 24
BT - 2024 IEEE 63rd Conference on Decision and Control, CDC 2024
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 63rd IEEE Conference on Decision and Control, CDC 2024
Y2 - 16 December 2024 through 19 December 2024
ER -