@inproceedings{bd46b4517ce34ee091dae0a78d8b198d,
title = "Quantum filter for a class of non-Markovian quantum systems",
abstract = "In this paper we present a Markovian representation approach to constructing quantum filters for a class of non-Markovian quantum systems disturbed by Lorentzian noise. An ancillary system is introduced to convert white noise into Lorentzian noise which is injected into a principal system via a direct interaction. The resulting dynamics of the principal system are non-Markovian, which are driven by the Lorentzian noise. By probing the principal system, a quantum filter for the augmented system can be derived from standard theory, where the conditional state of the principal system can be obtained by tracing out the ancillary system.",
keywords = "Colored noise, Couplings, Hilbert space, Mathematical model, Quantum computing, Quantum mechanics, White noise",
author = "Shibei Xue and James, \{Matthew R.\} and Alireza Shabani and Valery Ugrinovskii and Petersen, \{Ian R.\}",
note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 54th IEEE Conference on Decision and Control, CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",
year = "2015",
month = feb,
day = "8",
doi = "10.1109/CDC.2015.7403338",
language = "English",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "7096--7100",
booktitle = "54rd IEEE Conference on Decision and Control,CDC 2015",
address = "United States",
}