Quantum adiabatic algorithms and large spin tunnelling

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 6, 2003, Pages

  Boulatov, A ^a   Smelyanskiy, V N ^a  

^a NASA AMES RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BINARY SEQUENCES; COMPUTATIONAL COMPLEXITY; ELECTRON TRANSITIONS; ELECTRON TUNNELING; EQUATIONS OF MOTION; GROUND STATE; HAMILTONIANS; MAGNETIZATION; MATHEMATICAL OPERATORS; OPTIMIZATION; POLYNOMIALS;

QUANTUM ADIABATIC EVOLUTION ALGORITHMS; QUANTUM TRANSITION; RANDOM BINARY OPTIMIZATION PROBLEM; SCHRODINGER EQUATION; SPIN TUNNELING;

QUANTUM THEORY;

EID: 1142280236     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser, e-print arXiv:quant-ph/0001106.
2. W. Van Dam, M. Mosca, and U. Vazirani, e-print arXiv:quant-ph/0206003.
3. E. Farhi, J. Goldstone, and S. Gutmann, e-print arXiv:quant-ph/0201031.
4. C. Bennett, E. Bernstein, G. Brassard, and U. Vazirani, SIAM J. Comput. 26, 1510 (1997); e-print arXiv:quant-ph/9701001.
5. U. Vazirani, "Quantum Adiabatic Algorithms" talk at ITP Conference on Quantum Information (UC Berkley, December, 2001), http://online.itp.ucsb.edu/on-line/qinfo_c01
6. E. Farhi, J. Goldstone, and S. Gutmann, e-print arXiv:quant-ph/0208135.
7. R. Monasson and R. Zecchina, Phys. Rev. Lett. 76, 3881 (1996)
8. R. Monasson and R. Zecchina, Phys. Rev. E 56, 1357 (1997).
9. W. Wernsdorfer and R. Sessoli, Science 284, 133 (1999).
10. J. Brooke, T.F. Rosenbaum, and G. Aeppil, Nature (London) 413, 610 (2001).
11. A. Messiah, Quantum Mechanics (Wiley, New York, 1976).
12. W. Van Dam, M. Mosca, and U. Vazirani (unpublished).
13. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon, New York, 1992).
14. E.M. Chudnovsky and D.A. Garanin, Phys. Rev. Lett. 79, 4469 (1997).
15. A. Garg, Europhys. Lett. 22, 205 (1993).
16. M. Stone, K. Park, and A. Garg, J. Math. Phys. 41, 8025 (2000).
17. M. Enz and R. Schilling, J. Phys. C 19, 1765 (1986).
18. R. Gilmore, Catastrophe Theory for Scientists and Engineers (Wiley, New York, 1981).
19. J.R. Klauder, Phys. Rev. D 19, 2349 (1979).
20. E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda, Science 292, 472 (2001).
21. E. Farhi, J. Goldstone, and S. Gutmann, e-print arXiv:quant-ph/0007071.
22. A.M. Childs, E. Farhi, J. Goldstone, and S. Gutmann, e-print arXiv:quant-ph/0012104.