On the physical realizability of general linear quantum stochastic differential equations with complex coefficients

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 1422-1427

  Shaiju, A J ^a   Petersen, Ian R ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; DIFFERENTIAL EQUATIONS; LIGHT POLARIZATION; LINEAR SYSTEMS; LINEAR TRANSFORMATIONS; STOCHASTIC SYSTEMS;

ALGEBRAIC CONDITIONS; COMPLEX COEFFICIENTS; PETERSEN; PHYSICAL REALIZABILITY; QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS; REAL COEFFICIENTS; SYSTEM STATE; UNITARY TRANSFORMATIONS;

MATHEMATICAL TRANSFORMATIONS;

EID: 77950817154     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5399947     Document Type: Conference Paper

References (15)

1. ∞ control of linear quantum stochastic systems," IEEE Transactions on Automatic Control, vol.53, no.8, pp. 1787-1803, 2008.
2. H. I. Nurdin, M. R. James, and I. R. Petersen, "Quantum LQG control with quantum mechanical controllers," in Proceedings of the 17th IFAC World Congress, Seoul, Korea, July 2008.
3. ∞ control for a class of linear complex quantum systems." in 2009 American Control Conference, St Louis, Mo, June 2009, to Appear.
4. M. Yanagisawa and H. Kimura, "Transfer function approach to quantum control-part I: Dynamics of quantum feedback systems," IEEE Transactions on Automatic Control, vol.48, no.12, pp. 2107-2120, 2003.
5. -, "Transfer function approach to quantum control-part II: Control concepts and applications," IEEE Transactions on Automatic Control, vol.48, no.12, pp. 2121-2132, 2003.
6. K. Parthasarathy, An Introduction to Quantum Stochastic Calculus. Berlin: Birkhauser, 1992.
7. C. Gardiner and P. Zoller, Quantum Noise. Berlin: Springer, 2000.
8. D. F. Walls and G. J. Milburn, Quantum Optics. Berlin; New York: Springer-Verlag, 1994.
9. S. Lloyd, "Coherent quantum feedback," Physical Review A, vol.62, no.022108, 2000.
10. H. Mabuchi, "Coherent-feedback quantum control with a dynamic compensator," Physical Review A, vol.78, p. 032323, 2008.
11. M. Nielsen and I. Chuang, Quantum Computation and Quantum Information. Cambridge, UK: Cambridge University Press, 2000.
12. A. Politi, M. J. Cryan, J. G. Rarity, S. Yu, and J. L. O'Brien, "Silica-on-silicon waveguide quantum circuits," Science, vol.320, no.5876, pp. 646-649, 2006.
13. S. C. Edwards and V. P. Belavkin, "Optimal quantum feedback control via quantum dynamic programming," University of Nottingham," quant-ph/0506018, 2005.
14. H. Kimura, Chain-Scattering Approach to H-infinity Control. Boston: Birkhäuser, 1997.
15. L. Bouten, R. Van Handel, and M. James, "An introduction to quantum filtering," SIAM J. Control and Optimization, vol.46, no.6, pp. 2199-2241, 2007.