Robustness properties of a class of optimal risk-sensitive controllers for quantum systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 38, Issue 1, 2005, Pages 194-199

  James, M R ^a   Petersen, I R ^b  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Quantum control; Risk sensitive stochastic control; Robust control

Indexed keywords

CONTROLLERS; COST FUNCTIONS; QUANTUM OPTICS; ROBUSTNESS (CONTROL SYSTEMS); STATISTICAL MECHANICS; STOCHASTIC SYSTEMS;

COST CRITERIA; QUANTUM CONTROL; QUANTUM MODELS; QUANTUM STATISTICS; QUANTUM SYSTEM; RADON-NIKODYM DERIVATIVE; ROBUSTNESS PROPERTIES; STOCHASTIC CONTROL;

ROBUST CONTROL;

EID: 79960726381     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20050703-6-cz-1902.00385     Document Type: Conference Paper

References (9)

1. Belavkin, V.P. and P. Staszewski (1986). A radon-nikodym theorem for completely positive maps. Reports on Mathematical Physics 24(1), 49-55.
2. Boel, R.K., M.R. James and I.R. Petersen (2002). Robustness and risk sensitive filtering. IEEE Transactions on Automatic Control 47(3), 451-461.
3. Doherty, A.C. and K. Jacobs (1999). Feedback-control of quantum systems using continuous state-estimation. Phys. Rev. A 60, 2700. quant-ph/9812004.
4. Doherty, A.C., S. Habib, K. Jacobs, H. Mabuchi and S.M. Tan (2000). Quantum feedback control and classical control theory. Phys. Rev. A 62, 012105. quant-ph/9912107.
5. Dupuis, P., M.R. James and I.R. Petersen (2000). Robust properties of risk-sensitive control. Math. Control, Systems and Signals 13, 318- 332.
6. James, M.R. (2004). Risk-sensitive optimal control of quantum systems. Phys. Rev. A 69, 032108. http://arxiv.org/archive/quantph, paper number quant-ph/0302136.
7. Nielsen, M.A. and I.L. Chuang (2000). Quantum Computation and Quantum Information. Cambridge University Press. Cambridge.
8. Raginsky, M. (2003). Radon-nikodym derivatives of quantum operations. Journal of Mathematical Physics 44(11), 5003-5020.
9. Wiseman, H. and G.J. Milburn (1994). Squeezing via feedback. Phys. Rev. A 49(2), 1350-1366.