Quantum phase transition of ground-state entanglement in a Heisenberg spin chain simulated in an NMR quantum computer

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 71, Issue 1, 2005, Pages

  Peng, Xinhua ^a   Du, Jiangfeng ^b,c   Suter, Dieter ^a  

^a TU DORTMUND UNIVERSITY   (Germany)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

HESEINBERG MODEL; PAULI OPERATORS; QUANTUM COMPUTERS; TELEPORTATION;

ANTIFERROMAGNETISM; COMPUTER SIMULATION; GROUND STATE; MAGNETIC FIELDS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR MAGNETIC RESONANCE; PHASE TRANSITIONS;

QUANTUM THEORY;

EID: 18444371748     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.71.012307     Document Type: Article

References (31)

1. S. Sachdev, Quantum Phase Transition (Cambridge University Press, Cambridge, 1999).
2. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) 416, 608 (2002).
3. T. J. Osborne and M. A. Nielsen, Phys. Rev. A 66, 032110 (2002);
4. J. Vidai, G. Palacios, and R. Mossed, Phys. Rev. A ibid. 69, 022107 (2004);
5. G. Vidai, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003);
6. F. Verstraete, M. Popp, and J. I. Cirac, Phys. Rev. Lett. ibid. 92, 027901 (2004);
7. J. I. Loutorre, E. Rico, and G. Vidai Quantum Inf. Comput. 4, 048 (2004).
8. S.-J. Gu, S.-S. Deng, Y.-Q. Li, and H.-Q. Lin, Phys. Rev. Lett. 93, 086402 (2004).
9. F. Gebbhard, The Mott Metal-Insulator Transition: Models and Methods (Springer-Verlag, New York, 1997).
10. R. B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983).
11. M. C. Arnesen, S. Bose, and V. Vedral, Phys. Rev. Lett. 87, 017901 (2001);
12. L. Zhou, H. S. Song, Y. Q. Guo, and C. Li, Phys. Rev. A 68, 024301 (2003);
13. X. Wang, Phys. Rev. A ibid. 66, 034302 (2002).
14. G. L. Kamta and A. F. Starace, Phys. Rev. Lett. 88, 107901 (2002).
15. A. Imamoglu, D. D. Awschalom, G. Burkard, F. P. DiVincenzo, D. Loss, M. Sherwin, and A. Small, Phys. Rev. Lett. 83, 4204 (1999).
16. R. Raussendorf and H. J. Briegel, Phys. Rev. Lett. 86, 5188 (2001).
17. S. Bose, Phys. Rev. Lett. 91, 207901 (2003);
18. V. Subrahmanyam, Phys. Rev. A 69, 034304 (2004).
19. R. P. Feynman, Int. J. Theor. Phys. 21, 467 (1982).
20. L. M. K. Vandersypen and Isaac L. Chuang, e-print quant-ph/ 0404064.
21. D. G. Cory, A. F. Fahmy, and T. F. Havel, Proc. Natl. Acad. Sci. U.S.A. 94, 1634 (1997);
22. N. A. Gershenfeld and I. L. Chuang, Science 275, 350 (1997).
23. L. M. K. Vandersypen, M. Steen, M. H. Sherwood, C. S. Yannoni, G. Breyta, and I. L. Chuang, Appl. Phys. Lett. 76, 646 (2000).
24. A. Messiah, Quantum Mechanics (Wiley, New York, 1976).
25. L. M. K. Vandersypen, M. Steffen, G. Breyta, C. S. Yannoni, M. H. Sherwood, and I. L. Chuang, Nature (London) 414, 883 (2001).
26. W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998).
27. E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda, Science 292, 472 (2001);
28. M. Steffen, W. van-Dam, T. Hogg, G. Breyta, and I. Chuang, Phys. Rev. Lett. 90, 067903 (2004);
29. J. I. Latorre and R. Orus, Phys. Rev. A 69, 062302 (2004).
30. R. G. Unanyan, N. V. Vitanov, and K. Bergmann, Phys. Rev. Lett. 87, 137902 (2001);
31. N. F. Bell, R. F. Sawyer, R. R. Volkas, and Y. Y. Y. Wong, Phys. Rev. A 65, 042328 (2002).