Quantum computation based on d-level cluster state

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 6, 2003, Pages

  Zhou, D L ^a   Zeng, B ^a   Xu, Z ^a   Sun, C P ^b  

^a TSINGHUA UNIVERSITY   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; COMPUTATION THEORY; COMPUTERS; CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; LOGIC GATES; MATHEMATICAL TRANSFORMATIONS; THEOREM PROVING;

HILBERT SPACE; ISING MODEL; QUANTUM COMPUTATION; QUANTUM COMPUTER; QUANTUM CORRELATIONS; QUANTUM PLANE ALGEBRA; QUBIT CLUSTER STATE; QUDIT CLUSTER STATE;

QUANTUM THEORY;

EID: 1142304447     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. M. A. Nielsen and I. S. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
2. H. J. Briegel and R. Raussendorf, Phys. Rev. Lett. 86, 910 (2001).
3. R. Raussendorf and H. J. Briegel, Phys. Rev. Lett. 86, 5188 (2001).
4. R. Raussendorf, D. E. Brown, and H. J. Briegel, e-print quant-ph/0301052.
5. L. M. Duan, E. Demler, and M. D. Lukin, e-print cond-mat/0201564.
6. C. P. Sun, in Quantum Group and Quantum Integrable Systems, edited by M. L. Ge (World Scientific, Singapore, 1992). p. 133
7. M. L. Ge, X. F. Liu, and C. P. Sun, J. Phys. A 25, 2907 (1992).
8. S. D. Bartlett, H. de Guise, and B. C. Sanders, Phys. Rev. A 65, 052316 (2002).
9. B. C. Sanders, S. D. Barlett, and H. de Guise, e-print quant-ph/0208008.
10. J. Jamil, X. G. Wang, and B. C. Sanders, e-print quant-ph/0211185.
11. D. Gottemann, A. Kitaev, and J. Preskill, Phys. Rev. A 65, 044303 (2002).
12. J. Patera and H. Zassenhaus, J. Math. Phys. 29, 665 (1988).
13. E. Knill, e-print quant-ph/9608048 (1996).
14. H. Weyl, Theory of Groups and Quantum Mechanics (E. P. Dutton Co., New York, 1932).
15. J. Schwinger, Proc. Natl. Acad. Sci. U.S.A. 46, 570 (1960).
16. R. R. Puri, Mathematical Methods of Quantum Optics (Springer, Berlin, 2001).
17. J. L. Brylinski and R. Brylinski, e-print quant-ph/0108062.
18. M. Blume, V. J. Emery, and R. B. Griffiths, Phys. Rev. A 4, 1071 (1971).
19. J. Sivardiere and M. Blume, Phys. Rev. B 5, 1126 (1972).
20. J. Kwo et al., Phys. Rev. Lett. 1402 (1985).
21. C. F. Majkrzak et al., Phys. Rev. Lett. 56, 2700 (1986).
22. J. J. Krebs, P. Lubirtz, A. Chaiken, and G. A. Prinz, Phys. Rev. Lett. 63, 1645 (1989).
23. R. E. Camiey, J. Kwo, M. Hong, and C. L. Chien, Phys. Rev. Lett. 64, 2703 (1990).
24. N. Sh. Izmailian, e-print help-th/9603080.
25. A. Mattoni, M. Bagagiolo, and A. Saberl, Chin. J. Phys. (Taipei) 40, 3 (2002).
26. L. L. Hinchey and D. L. Mills, Phys. Rev. B 33, 3329 (1986).
27. B. D. Qu, W. L. Zhong, and P. L. Zhang, Phys. Lett. A 189, 419 (1994).
28. F. Fisman, F. Schwabl, and D. Schwenk, Phys. Lett. A 121, 192 (1987).
29. J. Gritz-Saaverda, F. Aguilra-Grania, and J. L. Moran-Lopez, Solid State Commun. 82, 5891 (1992).
30. H. K. Sy and M. H. Ow, J. Phys.: Condens. Matter 4, 5891 (1992).
31. A. Saber, A. Ainane, M. Saber, I. Essaoudi, F. Dujardin, and B. Stébé, Phys. Rev. B 60, 4149 (1999).