Indirect control with a quantum accessor: Coherent control of multilevel system via a qubit chain

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 5, 2007, Pages

  Fu, H C ^a   Dong, Hui ^b   Liu, X F ^c   Sun, C P ^b  

^a SHENZHEN UNIVERSITY   (China)

^b INSTITUTE OF THEORETICAL PHYSICS   (China)

^c PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; CONTROLLABILITY; SPIN DYNAMICS; THREE DIMENSIONAL;

QUANTUM ACCESSOR; QUBIT CHAIN; SPIN CHAIN; THREE DIMENSIONAL SYSTEMS;

QUANTUM THEORY;

EID: 34347330211     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.052317     Document Type: Article

References (27)

1. Information Complexity and Control in Quantum Physics, edited by, A. Blaquiere, S. Dinerand, and, G. Lochak, (Springer, New York, 1987).
2. A. G. Butkovskiy and Yu. I. Samoilenko, Control of Quantum-Mechanical Processes and Systems (Kluwer Academic, Dordrecht, 1990).
3. V. Jurdjevic, Geometric Control Theory (Cambridge University Press, Cambridge, U.K., 1997).
4. S. Lloyd, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.022108 62, 022108 (2000).
5. G. M. Huang, T. J. Tarn, and J. W. Clark, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.525634 24, 2608 (1983).
6. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U.K., 2000).
7. V. Ramakrishna and H. Rabitz, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.1715 54, 1715 (1996).
8. Fei Xue, S. X. Yu, and C. P. Sun, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.013403 73, 013403 (2006).
9. R.-B. Wu, T.-J. Tarn, and C.-W. Li, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012719 73, 012719 (2006).
10. H. Fu, S. G. Schirmer, and A. I. Solomon, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/8/313 34, 1679 (2001).
11. S. G. Schirmer, H. Fu, and A. I. Solomon, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.063410 63, 063410 (2001).
12. R. Romano and D. D'Alessandro, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.022323 73, 022323 (2006).
13. R. Romano and D. D'Alessandro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.080402 97, 080402 (2006).
14. R. Vilela Mendes and V. I. Manko, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.053404 67, 053404 (2003).
15. A. Mandilara and J. W. Clark, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.013406 71, 013406 (2005).
16. P. Zanardi and S. Lloyd, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.022313 69, 022313 (2004).
17. P. Giorda, P. Zanardi, and S. Lloyd, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.062320 68, 062320 (2003).
18. J. E. Humphreys, Introduction to Lie Algebras and Representation Theory (Spring-Verlag New York, 1972).
19. S. Helgason, Differential Geometry, Lie Groups and Symmetric Spaces (Academic Press, New York, 1978).
20. F. Albertini and D. Dlessandro, IEEE Trans. Autom. Control IETAA9 0018-9286 10.1109/TAC.2003.815027 48, 1399 (2003).
21. L. Viola, S. Lloyd and E. Knill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4888 83, 4888 (1999).
22. S. Lloyd and L. Viola, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65. 010101 65, 010101 (R) (2002).
23. C. Altafini, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1571221 44, 2357 (2003).
24. V. Ramakrishna, M. V. Salapaka, M. Dahleh, H. Rabitz, and A. Peirce, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.51.960 51, 960 (1995).
25. D. A. Lidar, D. Bacon, and K. B. Whaley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.4556 82, 4556 (1999);
26. D. P. DiVincenzo, D. Bacon, J. Kempe, G. Burkard, and K. B. Whaley, Nature (London) NATUAS 0028-0836 10.1038/35042541 408, 339 (2000).
27. Z.-W. Zhou, Y.-J. Han, and G.-C. Guo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.052334 74, 052334 (2006).