@inproceedings{5fe8bc81b70d4907a2ab815f6be86b79,
title = "A karhunen-loeve expansion for one-mode open quantum harmonic oscillators using the eigenbasis of the two-point commutator kernel",
abstract = "This paper considers one-mode open quantum harmonic oscillators with a pair of conjugate position and momentum variables driven by vacuum bosonic fields according to a linear quantum stochastic differential equation. Such systems model cavity resonators in quantum optical experiments. Assuming that the quadratic Hamiltonian of the oscillator is specified by a positive definite energy matrix, we consider a modified version of the quantum Karhunen-Loeve expansion of the system variables proposed recently. The expansion employs eigenvalues and eigenfunctions of the two-point commutator kernel for linearly transformed system variables. We take advantage of the specific structure of this eigenbasis in the one-mode case (including its connection with the classical Ornstein-Uhlenbeck process). These results are applied to computing quadratic-exponential cost functionals which provide robust performance criteria for risk-sensitive control of open quantum systems.",
author = "Vladimirov, {Igor G.} and James, {Matthew R.} and Petersen, {Ian R.}",
note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 2019 Australian and New Zealand Control Conference, ANZCC 2019 ; Conference date: 27-11-2019 Through 29-11-2019",
year = "2019",
month = nov,
doi = "10.1109/ANZCC47194.2019.8945608",
language = "English",
series = "2019 Australian and New Zealand Control Conference, ANZCC 2019",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "179--184",
booktitle = "2019 Australian and New Zealand Control Conference, ANZCC 2019",
address = "United States",
}