Low frequency approximation for a class of linear quantum systems using cascade cavity realization

Systems and Control Letters

Volumn 61, Issue 1, 2012, Pages 173-179

  Petersen, Ian R ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Cascade realization; Model reduction; Quantum linear systems

Indexed keywords

APPROXIMATION METHODS; COMPLEX TRANSFER FUNCTIONS; LINEAR QUANTUM SYSTEMS; LOW FREQUENCY; LOW-FREQUENCY APPROXIMATION; MODEL REDUCTION; PASSIVE OPTICAL COMPONENTS;

APPROXIMATION THEORY; LINEAR SYSTEMS; OPTICAL BEAM SPLITTERS; QUANTUM ELECTRONICS;

QUANTUM OPTICS;

EID: 84555179115     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2011.10.014     Document Type: Article

References (28)

1. M. Yanagisawa, and H. Kimura Transfer function approach to quantum control-part I: dynamics of quantum feedback systems IEEE Trans. Automat. Control 48 12 2003 2107 2120
2. M. Yanagisawa, and H. Kimura Transfer function approach to quantum control-part II: control concepts and applications IEEE Trans. Automat. Control 48 12 2003 2121 2132
3. N. Yamamoto Robust observer for uncertain linear quantum systems Phys. Rev. A. 74 2006 032107-1 032107-10
4. ∞ control of linear quantum stochastic systems IEEE Trans. Automat. Control 53 8 2008 1787 1803
5. H.I. Nurdin, M.R. James, and I.R. Petersen Coherent quantum LQG control Automatica 45 8 2009 1837 1846
6. J. Gough, R. Gohm, and M. Yanagisawa Linear quantum feedback networks Phys. Rev. A. 78 2008 062104
7. H. Mabuchi Coherent-feedback quantum control with a dynamic compensator Phys. Rev. A. 78 2008 032323
8. N. Yamamoto, H.I. Nurdin, M.R. James, and I.R. Petersen Avoiding entanglement sudden-death via feedback control in a quantum network Phys. Rev. A. 78 4 2008 042339
9. I.R. Petersen, Cascade Cavity Realization for a Class of Complex Transfer Functions Arising in Coherent Quantum Feedback Control, in: Proceedings of the 2009 European Control Conference, Budapest, Hungary, 2009.
10. A.J. Shaiju, I.R. Petersen, On the Physical Realizability of General Linear Quantum Stochastic Differential Equations with Complex Coefficients, in: Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, China, 2009.
11. H.I. Nurdin, M.R. James, and A.C. Doherty Network synthesis of linear dynamical quantum stochastic systems SIAM J. Control Optim. 48 4 2009 2686 2718
12. J. Gough, and M.R. James The series product and its application to quantum feedforward and feedback networks IEEE Trans. Automat. Control 54 11 2009 2530 2544
13. J.E. Gough, M.R. James, and H.I. Nurdin Squeezing components in linear quantum feedback networks Phys. Rev. A. 81 2010 023804
14. H.M. Wiseman, and G.J. Milburn Quantum Measurement and Control 2010 Cambridge University Press
15. A.I. Maalouf, I.R. Petersen, Bounded real properties for a class of linear complex quantum systems, IEEE Trans. Automat. Control PP (99) (2010) 1, currently available on IEEE Xplore early access. doi:10.1109/TAC.2010.2060970 (in press).
16. ∞ control for a class of linear complex quantum systems, IEEE Trans. Automat. Control, PP, (99) 2010 1, currently available on IEEE Xplore early access, doi:10.1109/TAC.2010. 2052942 (in press).
17. I.R. Peterse, Cascade cavity realization for a class of complex transfer functions arising in coherent quantum feedback control, Automatica (in press).
18. D.F. Walls, and G.J. Milburn Quantum Optics 1994 SpringerVerlag Berlin, New York
19. H. Bachor, and T. Ralph A Guide to Experiments in Quantum Optics 2nd ed. 2004 Wiley-VCH Weinheim, Germany
20. H.I. Nurdin, M.R. James, I.R. Petersen, Quantum LQG Control with Quantum Mechanical Controllers, in: Proceedings of the 17th IFAC World Congress, Seoul, Korea, 2008.
21. C. Gardiner, and P. Zoller Quantum Noise 2000 Springer Berlin
22. L. Bouten, R. Van Handel, and M. James An introduction to quantum filtering SIAM J. Control Optim. 46 6 2007 2199 2241
23. K. Parthasarathy An Introduction to Quantum Stochastic Calculus 1992 Birkhauser Berlin
24. R. Hudson, and K. Parthasarathy Quantum Ito's formula and stochastic evolution Commun. Math. Phys. 93 1984 301 323
25. V. Belavkin Quantum continual measurements and a posteriori collapse on CCR Comm. Math. Phys. 146 1992 611 635
26. S.C. Edwards, and V.P. Belavkin Optimal Quantum Feedback Control Via Quantum Dynamic Programming, quant-ph/0506018 2005 University of Nottingham
27. M. Reck, A. Zeilinger, H. Bernstein, and P. Bertani Experimental realization of any discrete unitary operator Phys. Rev. Lett. 73 1 1994 58 61 (Pubitemid 24975816)
28. T. Kailath Linear Systems 1980 Prentice-Hall Englewood Cliffs, NJ