This paper provides a brief review of Rosenbrock's recent work on generating quantum mechanics using dynamic programming, some background knowledge of quantum mechanics and some general issues and problems in developing feedback quantum control.
Barchielli, A.1993: Stochastic differential equations and a posteriori states in quantum mechanics. International Journal of Theoretical Physics32, 2221—33.
2.
Bellman, R.E. and Dreyfus, S.E.1962: Applied dynamic programming. Princeton University Press.
3.
Carmichael, H.J.1993: An open systems approach to quantum optics, Volume 18. Lecture Notes in Physics Monograph. Springer-Verlag .
4.
Doherty, A.C., Habib, S., Jacobs, K., Mabuchi, H. and Tan, S.M.2000: Quantum feedback control and classical control theory . Physical Review A62, 012105.
5.
Doherty, A.C., Jacobs, K. and Jungman, G.2001: Information, disturbance, and Hamiltonian quantum feedback control. Physical Review A63, 062306.
6.
Habib, S., Jacobs, K. and Mabuchi, H.2002: Quantum feedback control: how can we control quantum systems without disturbing them? Los Alamos Science27, 126—35.
7.
Isidori, A.1995: Nonlinear control systems: an introduction. Communications and Control Engineering, third edition. Springer-Verlag .
8.
Rosenbrock, H.H.1985: A variational principle for quantum mechanics. Physics Letters110A, 343—46.
9.
Rosenbrock, H.H.1986a: On wave/particle duality. Physics Letters114A, 1—2.
10.
Rosenbrock, H.H.1986b: Three approaches to quantum mechanics. Physics Letters114A, 63—64.
11.
Rosenbrock, H.H.1986c: The quantum mechanical probability. Physics Letters116, 410—12.
12.
Rosenbrock, H.H.1995: A stochastic variational treatment of quantum mechanics . Proceedings of the Royal Society of LondonA450, 417—37.
13.
Rosenbrock, H.H.1999: The definition of state in the stochastic variational treatment of quantum mechanics. Physics LettersA254, 307—13.
14.
Rosenbrock, H.H.2000: Doing quantum mechanics with control theory. IEEE Transactions on Automatic Control45, 73—77.
15.
Rosenbrock, H.H. and Ding, Z. (2007): Quantum mechanics and dynamic programming. Transactions of the Institute of Measurement and Control30, 33—46.
16.
Schiff, L.I.1968: Quantum mechanics, third edition. McGraw-Hill.
17.
Wiseman, H.M. and Milburn, G.J.1993: Quantum theory of optical feedback via homodyne detection . Physical Review Letters70, 548—51.
18.
Wiseman, H.M.1994: Quantum theory of continuous feedback. Physical Review A49, 2133—50.
