@inproceedings{5636347e72b14688b2cba3fb9c46e5de,
title = "Directly coupled observers for quantum harmonic oscillators with discounted mean square cost functionals and penalized back-action",
abstract = "This paper is concerned with quantum harmonic oscillators consisting of a quantum plant and a directly coupled coherent quantum observer. We employ discounted quadratic performance criteria in the form of exponentially weighted time averages of second-order moments of the system variables. A coherent quantum filtering (CQF) problem is formulated as the minimization of the discounted mean square of an estimation error, with which the dynamic variables of the observer approximate those of the plant. The cost functional also involves a quadratic penalty on the plant-observer coupling matrix in order to mitigate the back-action of the observer on the covariance dynamics of the plant. For the discounted mean square optimal CQF problem with penalized back-action, we establish first-order necessary conditions of optimality in the form of algebraic matrix equations. By using the Hamiltonian structure of the Heisenberg dynamics and related Liealgebraic techniques, we represent this set of equations in a more explicit form in the case of equally dimensioned plant and observer.",
author = "Vladimirov, {Igor G.} and Petersen, {Ian R.}",
note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE Conference on Norbert Wiener in the 21st Century, 21CW 2016 ; Conference date: 13-07-2016 Through 16-07-2016",
year = "2016",
month = aug,
day = "18",
doi = "10.1109/NORBERT.2016.7547464",
language = "English",
series = "2016 IEEE Conference on Norbert Wiener in the 21st Century, 21CW 2016",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "78--83",
booktitle = "2016 IEEE Conference on Norbert Wiener in the 21st Century, 21CW 2016",
address = "United States",
}