@inproceedings{37f42401a01d4267a9deff47267b2c58,
title = "Quantum filter for a non-Markovian single qubit system",
abstract = "In this paper, a quantum filter for estimating the states of a non-Markovian qubit system is presented in an augmented Markovian system framework including both the qubit system of interest and multi-ancillary systems for representing the internal modes of the non-Markovian environment. The colored noise generated by the multi-ancillary systems disturbs the qubit system via a direct interaction. The resulting non-Markovian dynamics of the qubit is determined by a memory kernel function arising from the dynamics of the ancillary system. In principle, colored noise with arbitrary power spectrum can be generated by a combination of Lorentzian noises. Hence, the quantum filter can be constructed for the qubit disturbed by arbitrary colored noise and the conditional state of the qubit system can be obtained by tracing out the multi-ancillary systems.",
author = "Shibei Xue and James, {Matthew R.} and Alireza Shabani and Valery Ugrinovskii and Petersen, {Ian R.}",
note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; IEEE Conference on Control and Applications, CCA 2015 ; Conference date: 21-09-2015 Through 23-09-2015",
year = "2015",
month = nov,
day = "4",
doi = "10.1109/CCA.2015.7320609",
language = "English",
series = "2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "19--23",
booktitle = "2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings",
address = "United States",
}