Structures and Transformations for Model Reduction of Linear Quantum Stochastic Systems

Preprint English OPEN
Nurdin, Hendra I.;
  • Subject: Mathematics - Optimization and Control | Computer Science - Systems and Control | Quantum Physics

The purpose of this paper is to develop a model reduction theory for linear quantum stochastic systems that are commonly encountered in quantum optics and related fields, modeling devices such as optical cavities and optical parametric amplifiers, as well as quantum net... View more
  • References (19)
    19 references, page 1 of 2

    [1] V. P. Belavkin and S. C. Edwards, \Quantum ltering and optimal control," in Quantum Stochastics and Information: Statistics, Filtering and Control (University of Nottingham, UK, 15 - 22 July 2006), V. P. Belavkin and M. Guta, Eds. Singapore: World Scienti c, 2008, pp. 143{205.

    [2] M. R. James, H. I. Nurdin, and I. R. Petersen, \H1 control of linear quantum stochastic systems," IEEE Trans. Automat. Contr., vol. 53, no. 8, pp. 1787{1803, 2008.

    [3] H. I. Nurdin, M. R. James, and A. C. Doherty, \Network synthesis of linear dynamical quantum stochastic systems," SIAM J. Control Optim., vol. 48, no. 4, pp. 2686{2718, 2009.

    [4] J. E. Gough, M. R. James, and H. I. Nurdin, \Squeezing components in linear quantum feedback networks," Phys. Rev. A, vol. 81, pp. 023 804{1{ 023 804{15, 2010.

    [5] C. W. Gardiner and P. Zoller, Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics, 3rd ed. Berlin and New York: Springer-Verlag, 2004.

    [6] H. I. Nurdin, M. R. James, and I. R. Petersen, \Coherent quantum LQG control," Automatica J. IFAC, vol. 45, pp. 1837{1846, 2009.

    [7] K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control. 1995.

    [8] L. Bouten, R. van Handel, and A. Silberfarb, \Approximation and limit theorems for quantum stochastic models with unbounded coe cients," Journal of Functional Analysis, vol. 254, pp. 3123{3147, 2008.

    [9] J. E. Gough, H. I. Nurdin, and S. Wildfeuer, \Commutativity of the adiabatic elimination limit of fast oscillatory components and the instantaneous feedback limit in quantum feedback networks," J. Math. Phys, vol. 51, no. 12, pp. 123 518{1{123 518{ 25, 2010.

    [10] I. R. Petersen, \Singular perturbation approximations for a class of linear complex quantum systems," in Proceedings of the American Control Conference 2010 (Baltimore, MD, June 30-July 2, 2010), 2010, pp. 1898{1903.

  • Similar Research Results (5)
  • Metrics
Share - Bookmark