Optimal control of the spin system on a basis of the global improvement method (original) (raw)

Access this article

Log in via an institution

Subscribe and save

• Starting from 10 chapters or articles per month
• Access and download chapters and articles from more than 300k books and 2,500 journals
• Cancel anytime View plans

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

1. Krotov, V.F. and Fel’dman, N.N., Iterative Method to Solve the Problems of Optimal Control, Izv. Akad. Nauk SSSR, Tekh. Kibern., 1983, no. 2, pp. 160–168.
2. Krotov, V.F., Global Methods in Optimal Control Theory, New York: Marcel Dekker, 1996.
   MATH Google Scholar
3. Krotov, V.F. and Gurman, V.I., Metody i zadachi optimal’nogo upravleniya (Methods and Problems of Optimal Control), Moscow: Nauka, 1973.
   Google Scholar
4. Vasil’ev, O.V., Lektsii po metodam optimizatsii (Lectures on Methods of Optimization), Irkutsk: Irkut. Univ., 1994.
   Google Scholar
5. Landau, L.D. and Lifshits, E.M., Teoreticheskaya fizika, tom. 3: Kvantovaya mekhanika (nerelyativistskaya teoriya) (Theoretical Physics, vol. 3: Quantum Mechanics (Non-relativistic Theory)), Moscow: Fizmatlit, 2008.
   Google Scholar
6. Valiev, K.A., Quantum Computers and Quantum Computations, Usp. Fiz. Nauk, 2005, vol. 175, pp. 3–39.
   Article MathSciNet Google Scholar
7. Kazakov, V.A. and Krotov, V.F., Optimal Control of Resonant Interaction between Light and Matter, Autom. Remote Control, 1987, no. 4, pp. 430–434.
8. Reich, D., Ndong, M., and Koch, C.P., Monotonically Convergent Optimization in Quantum Control Using Krotov’s Method, 2010, http://arxiv.org/pdf/1008.5126v1.
9. Caneva, T., Murphy, M., Calarco, T., et al., Optimal Control at the Quantum Speed Limit, Physical Review Lett., vol. 103, 240501 (2009), URL: http://arxiv.org/abs/0902.4193v2.
   Article Google Scholar
10. Krotov, V.F., On Optimization of Control of Quantum Systems, Dokl. Ross. Akad. Nauk, 2008, vol. 423, no. 3, pp. 316–319.
    MathSciNet MATH Google Scholar
11. Krotov, V.F., Control of the Quantum Systems and Some Ideas of the Optimal Control Theory, Autom. Remote Control, 2009, no. 3, pp. 357–365.
12. Krotov, V.F., Bulatov, A.V., and Baturina, O.V., Optimization of Linear Systems with Controllable Coefficients, Autom. Remote Control, 2011, no. 6, pp. 1199–1212.
13. Baturina, O.V., Bilinear Dynamic Systems: A Study of the Iterative Methods of Optimization, Probl. Upravlen., 2010, no. 5, pp. 22–27.
14. Tikhonov, A.N., On Methods of Regularization of the Optimal Control Problems, Dokl. Akad. Nauk SSSR, 1965, vol. 162, no. 4, pp. 763–765.
    MathSciNet Google Scholar
15. Sal’nikov, A.M., Yaroshenko, E.A., Grebennik, O.S., and Spiridonov, S.V., Vvedenie v parallel’nye vychisleniya. Osnovy programmirovaniya na yazyke Si s ispol’zovaniem interfeisa MPI (Introduction to Parallel Computations. Fundamentals of Programming in C Using the MPI Interface) Moscow: Inst. Probl. Upravlen., 2010.
    Google Scholar

Download references