Time-optimal control of finite quantum systems

Journal of Mathematical Physics

Volumn 41, Issue 8, 2000, Pages 5262-5269

  Weaver, Nik ^a  

^a WASHINGTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034336536     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533407     Document Type: Article

References (22)

1. A. G. Butkovskiy and Yu. I. Samoilenko, Control of Quantum-Mechanical Processes and Systems (Kluwer, Boston, 1990).
2. G. M. Huang, T. J. Tarn, and J. W. Clark, J. Math. Phys. 24, 2608 (1983).
3. S. Lloyd (in preparation).
4. W. S. Warren, H. Rabitz, and M. Dahleh, Science 259, 1581 (1993).
5. A. P. Peirce, M. A. Dahleh, and H. Rabitz, Phys. Rev. A 37, 4950 (1988).
6. A. Boukas, Math. Notes 53, 489 (1993).
7. K. Kime, Appl. Math. Lett. 6, 11 (1993).
8. V. Ramakrishna, M. V. Salapaka, M. Dahleh, H. Rabitz, and A. Peirce, Phys. Rev. A 51, 960 (1995).
9. M. Keller and G. Mahler, J. Mod. Opt. 41, 2537 (1994).
10. H. M. Wiseman, Phys. Rev. A 49, 2133 (1994).
11. S. V. Prants, Autom. Remote Control (Engl. Transl.) 57, 204 (1996).
12. R. S. Judson and H. Rabitz, Phys. Rev. Lett. 68, 1500 (1992).
13. A. G. Butkovskii and Yu. I. Somoilenko, Autom. Remote Control (Engl. Transl.) 40, 629 (1979).
14. H. Hermes and J. P. LaSalle, Functional Analysis and Time Optimal Control (Academic, New York, 1969).
15. W. Rudin, Functional Analysis, 2nd ed. (McGraw-Hill, New York, 1991).
16. R. V. Kadison and J. R. Ringrose, Fundamentals of the Theory of Operator Algebras, Volumes I and II (Academic, New York, 1983, 1986).
17. C. A. Akemann and J. Anderson, Lyapunov Theorems for Operator Algebras [Mem. Amer. Math. Soc. 458 (Providence, 1991)].
18. S. Lloyd, Phys. Rev. Lett. 75, 346 (1995).
19. V. Ramakrishna and H. Rabitz, Phys. Rev. A 54, 1715 (1996).
20. N. Weaver, J. Math. Phys. 41, 240 (2000).
21. V. Jurdjevic and H. Sussmann, J. Diff. Eqns. 12, 313 (1972).
22. H. Helson, Harmonic Analysis (Addison-Wesley, Reading, 1983).