Observability, Measurement and Parameter Identification of Quantum Mechanical Systems; Applications to Spin Networks

Proceedings of the IEEE Conference on Decision and Control

Volumn 1, Issue , 2003, Pages 439-444

  Albeitini, Francesca ^a   D'Alessandro, Domenico ^b  

^a UNIVERSITY OF PADOVA   (Italy)

^b IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; MAGNETIC SUSCEPTIBILITY; MAGNETIZATION; MATRIX ALGEBRA; QUANTUM THEORY; THERMODYNAMICS;

QUANTUM MECHANICAL SYSTEMS; SPIN NETWORKS;

IDENTIFICATION (CONTROL SYSTEMS);

EID: 1542269308     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (26)

1. F. Albertini and D. D'Alessandro, The Lie Algebra structure and controllability of spin systems, Linear Algebra and its Applications, 350, (2002), 213-235.
2. F. Albertini and D. D'Alessandro, Notions of controllability for bilinear multilevel quantum systems, IEEE Transactions on Automatic Control Vol. 48, No. 8, 1399-1403. also http://arXiv.org, quant-ph 0106128.
3. F. Albertini and D. D'Alessandro, Model Identification for Spin Networks, preprint http://arXiv.org, quant-ph 0307128.
4. J-P. Amiet and S. Weigert, Reconstructing a pure state of a spin s through three Stern-Gerlach measurements, J. Phys. A 32 (1999), no. 15, 2777-2784.
5. D. D. Awschalom and D. P. DiVincenzo, Complex dynamics of mesoscopic magnets, Physics Today, April 1995, pp. 43-48.
6. B. Barbara and L. Gunther, Magnets, molecules and quantum mechanics, Physics World, March 1999, pp. 35-39.
7. G. Christou, D. Gatteschi, D. N. Hendrickson and R. Sessoli, Single-Molecule magnets, MRS Bulletin, November 2000, pp. 66-71.
8. K. Blum, Density Matrix Theory and Applications, Physics of Atoms and Molecules, Plenum Press, New York and London, 1996.
9. P. Busch, Is the quantum state (an) observable?, in Experimental Metaphysics- Quantum Mechanical Studies in honor of Abner Shimony, Eds. R. S. Cohen and J. Stachel, D. Reidel, Dordrecht, 1996.
10. D. D'Alessandro, The Lie Algebra Rank Condition for nonbilinear quantum systems, preprint Iowa State University, 2003, xxx.lanl/quant-ph/0301144.
11. D. D'Alessandro, On quantum state observability and measurement, to appear in Journal of Physics A; Mathematical and General, also xxx.lanl/quant-ph/0307127.
12. R. R. Ernst, G. Bodenhausen and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions, Oxford University Press, 1987.
13. 12 acetate molecules, Phys. Rev. Lett. 80, 612 (1998).
14. W. Gordy, Theory and Applications of Electron Spin Resonance, Wiley, New York, 1980.
15. L. Gunther and B. Barbara eds.,Proceedings of the first NATO workshop on Quantum Tunneling of Magnetization: QTM 94, (Kluwer, Dordrecht).
16. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press, 1991.
17. G. M. Huang, T. J. Tarn and J. W. Clark, On the controllability of quantum mechanical systems, J. Math. Phys. 24, 11, November 1983, pg. 2608-2618.
18. V. Jurdjević, Geometric Control Theory, Cambridge University Press, 1997.
19. V. Jurdjević and H. J. Sussmann, Control systems on Lie groups. Journal of Differential Equations, 12, 1972, 313-329.
20. L. Ljung and T. Soderstrom, Theory and Practice of Recursive Identification, MIT Press, Cambridge, Massachusetts, 1983.
21. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, 2000.
22. W. Pauli, Encyclopedia of Physics, Springer, Berlin, 1958, Vol. V, p. 17.
23. J. J. Sakurai, Modern Quantum Mechanics, Addison-Wesley Pub. Co., Reading, Mass. 1994.
24. H-J Schmidt and M. Luban, Continuous families of isospectral Heisenberg spin systems and the limits of inference from measurements, J. Phys. A: Math. Gen. 34 (2001), 2839-2858.
25. E. Sontag, Mathematical Control Theory; Deterministic, Finite Dimensional Systems, Springer, New York, 1990.
26. J. Von Neumann, Mathematical Foundations of Quantum Mechanics, Princeton University Press 1955.