@inproceedings{5f1e93cd765e4e37a82a2b1875b69f27,

title = "Lie-algebraic connections between two classes of risk-sensitive performance criteria for linear quantum stochastic systems",

abstract = "This paper is concerned with the original risk-sensitive performance criterion for quantum stochastic systems and its recent quadratic-exponential counterpart. These functionals are of different structure because of the noncommutativity of quantum variables and have their own useful features such as tractability of evolution equations and robustness properties. We discuss a Lie algebraic connection between these two classes of cost functionals for open quantum harmonic oscillators using an apparatus of complex Hamiltonian kernels and symplectic factorizations. These results are aimed to extend useful properties from one of the classes of risk-sensitive costs to the other and develop state-space equations for computation and optimization of these criteria in quantum robust control and filtering problems.",

author = "Vladimirov, {Igor G.} and Petersen, {Ian R.} and James, {Matthew R.}",

note = "Publisher Copyright: Copyright {\textcopyright} 2019 by SIAM.; 2019 SIAM Conference on Control and Its Applications, SIAM CT 2019 ; Conference date: 19-06-2019 Through 21-06-2019",

year = "2019",

doi = "10.1137/1.9781611975758.6",

language = "English",

series = "Proceedings of the 2019 SIAM Conference on Control and Its Applications",

publisher = "Society for Industrial and Applied Mathematics Publications",

pages = "30--37",

editor = "Levine, {William S.} and Richard Stockbridge",

booktitle = "Proceedings of the 2019 SIAM Conference on Control and Its Applications",

address = "United States",

}