References

• 1. 1)
     • G. Dirr , U. Helmke . Lie theory for quantum control. GAMM-Mitt. , 1 , 59 - 93
  2. 2)
     • S. Cong , Y.S. Lou . Design of control sequence of pulses for the population transfer of high dimensional spin 1/2 quantum systems. J. Syst. Eng. Electron. , 6 , 1226 - 1234
  3. 3)
     • J.A. Armstrong , E. Courtens . Exact solution of a π-pulse problem. IEEE J. Quant. Electron. , 6 , 411 - 419
  4. 4)
     • S. Cong , S. Kuang . Quantum control strategy based on state distance. Acta Automatica Sinica , 1 , 28 - 31
  5. 5)
     • C. Altafini . Feedback control of spin systems. Quant. Inf. Process. , 1 , 9 - 36
  6. 6)
     • I.E. Linington , P.A. Ivanov , N.V. Vitanov , M.B. Plenio . Robust control of quantized motional states of a chain of trapped ions by collective adiabatic passage. Phys. Rev. A
  7. 7)
     • S. Cong . (2006) Introduction to quantum mechanical system control.
  8. 8)
     • Lou, Y.S., Cong, S.: `Track control of the states evolution of quantum system based on Bloch sphere', Proc. 26th Chinese Control Conf., 2007, Hunan, China, p. 576–580.
  9. 9)
     • M. Sugawara . General formulation of locally designed coherent control theory for quantum system. J. Chem. Phys. , 15 , 6784 - 6800
  10. 10)
      • M. Mirrahimi , P. Rouchon , G. Turinici . Lyapunov control of bilinear Schrödinger equations. Automatica , 1987 - 1994
  11. 11)
      • S.H. Shi , A. Woody , H. Rabitz . Optimal control of selective vibrational excitation in harmonic linear chain molecules. J. Chem. Phys. , 11 , 6870 - 6883
  12. 12)
      • S.G. Schirmer , M.D. Girardeau , J.V. Leahy . (1999) Efficient algorithm for optimal control of mixed-state quantum systems.
  13. 13)
      • S.G. Schirmer , A.D. Greentree , V. Ramakrishna , H. Rabitz . Constructive control of quantum systems using factorization of unitary operators. J. Phys. A, Math. Gen. , 8315 - 8339
  14. 14)
      • K. Beauchard , J.M. Coron , M. Mirrahimi , P. Rouchon . Implicit Lyapunov control of finite dimensional Schrödinger equations. Syst. Control Lett. , 388 - 395
  15. 15)
      • Vettori, P.: `On the convergence of a feedback control strategy for multilevel quantum systems', Proc. MTNS Conf., 2002.
  16. 16)
      • J. LaSalle , S. Lefschetz . (1961) Stability by Lyapunov's direct method with applications.
  17. 17)
      • E.A. Shapiro , A. Pe'er , J. Ye , M. Shapiro . Piecewise adiabatic population transfer in a molecule via a wave packet. Phys. Rev. Lett.
  18. 18)
      • S. Kuang , S. Cong . Lyapunov control methods of closed quantum systems. Automatica , 98 - 108
  19. 19)
      • Y. Ohtsuki , K. Nakagami , W. Zhu , H. Rabitz . Quantum optimal control of wave packet dynamics under the influence of dissipation. Chem. Phys. , 197 - 216
  20. 20)
      • N. Imoto . Controlling two-level atoms with a quantized π or π/2 pulse. Prog. Crystal Growth Charact. , 295 - 301
  21. 21)
      • Schirmer, S.G.: `Quantum control using lie group decompositions', IEEE Conf. on Decision and Control, 2001, 12, p. 298–303.
  22. 22)
      • S.D. Clow , C. Trallero-Herrero , T. Bergeman , T. Weinacht . Strong field multiphoton inversion of a three-level system using shaped ultrafast laser pulses. Phys. Rev. Lett.