Driving the propagator of a spin system: A feedback approach

Proceedings of the IEEE Conference on Decision and Control

Volumn 1, Issue , 2002, Pages 46-50

  Ferrante, Augusto ^a   Pavon, Michele ^a   Raccanelli, Giorgio ^b  

^a UNIVERSITY OF PADOVA   (Italy)

^b NONE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONTROL SYSTEM SYNTHESIS; CONTROLLABILITY; DIFFERENTIAL EQUATIONS; INTEGRATION; LINEAR CONTROL SYSTEMS; QUANTUM THEORY; STEERING;

MULTILEVEL QUANTUM SYSTEM; SCHRODINGER EQUATION; SPIN SYSTEM;

FEEDBACK CONTROL;

EID: 0036993410     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (25)

1. V. Jurdevic and H. Sussmann, Control systems on Lie groups, J. Diff. Equations 12 (1972), 313-329.
2. R. Brockett, System theory on group manifolds and coset spaces, SIAM J. Control 10 (1972), 265-275.
3. G. M. Huang and T. J. Tarn, "On the controllability of quantum-mechanical systems," J. Math. Phys. 24 (1983), 2608-2618.
4. A.Butkovski, Y. Samoilenko. Control of Quantum-Mechanical Processes and Systems. Kluwer, 1990.
5. P. Gross, V. Ramakrishna, E. Vilallonga, H. Rabitz, M. Littman, S. Littman, S. Lyon, M. Shayegan, "Optimally designed potentials for control of electron-wave scattering in semiconductor nanodevices," Physical Review B, 49 (1994), 11100-11110.
6. J. J. Sakurai, Modern Quantum Mechanics, Addison-Wesley, 1994.
7. D. P. Di Vincenzo, Quantum computation, Science 270, (1995), 255-261.
8. D. P. Di Vincenzo, Phys. Rev. A 51, (1995), 1015.
9. V. Ramakrishna, M. Salapaka, M. Dahleh, H. Rabitz, e A. Pierce, "Controllability of molecular systems," Physical Review A, 51 (1995), 960-966.
10. M. Dahleh, A.Pierce, H. Rabitz e V. Ramakrishna, "Control of Molecular Motion," Proc. IEEE 84 (1996), 6-15.
11. R. Ober e S. Ward, "On the class of attainable NMR experiments," J. Math. Chemistry, 22 (1997), 1-10.
12. V. Ramakrishna, R. Ober e H. Rabitz, "Explicit generation of states in quantum control," in Proc. MTNS-98, A. Beghi, L. Finesso and G. Picci Eds., II Poligrafo, Padova, Italy, 1998, 1071-1073.
13. R. Ober, V. Ramakrishna e S. Ward, "On the role of reachability in the analysis of NMR experiments," in Proc. MTNS-98, A. Beghi, L. Finesso and G. Picci Eds., II Poligrafo, Padova, Italy, 1998, 1059-1062.
14. T. Schulte-Herbrüggen, Aspects and prospects of high-resolution NMR (Ph.D. Thesis, ETH Zurich, 1998).
15. J. Preskill, Quantum Information and Computation, Lecture Notes for a CalTech Course, Sept. 1998, retrivable from the web site http://www.theory.caltech.edu/people/preskil/ph229/#lecture.
16. G. Harel and V. M. Akulin, "Complete control of Hamiltonian quantum systems: Engineering of Floquet evolution," Phys. Rev. Lett. 82 (1999), 1-5.
17. L. Viola, E. Knill and S. Lloyd, "Dynamical decoupling of open quantum systems," Phys. Rev. Lett. 82 (1999), 2417-2421.
18. R. Nelson, Y. Weinstein, D. Cory and S. Lloyd, Fully coherent quantum feedback, M.I.T. preprint, 2000.
19. R. Brockett and N. Khaneja, On the stochastic control of quantum ensembles, in System Theory: Modeling, Analysis and Control, T.E. Djaferis and I.C. Schick Eds., Kluwer, Boston, 2000, 75-96.
20. D. D'Alessandro, Topological properties of reachable sets and the control of quantum bits, Systems and Control Letters, 41 (2000), pg. 213-221.
21. A. Beghi, A. Ferrante and M. Pavon, Steering a quantum system over a Schrödinger bridge, Proc. MTNS 2000, CD-ROM, paper nr. 268, M. Fliess and A. El Jai Eds.
22. D. D'Allesandro, On the controllability of systems on compact Lie groups and quantum mechanical systems, in Proceedings 39-th Conference on Decision and Control, Sydney, Australia, Dec. 2000.
23. D. D'Alessandro, Algorithms for quantum control based on decompositions of Lie groups, in Proceedings 39-th Conference on Decision and Control, Sydney, Australia, Dec. 2000.
24. N. Khaneja, R. Brockett and S. J. Glaser, Time optimal control in spin systems, quant-ph/0006114 (2000).
25. D. D'Alessandro and M. Dahleh, "Optimal control of two-level quantum systems," IEEE Trans. Aut. Control, 46 (2001), 866-876.