Quantum annealing of an Ising spin-glass by Green's function Monte Carlo

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 3, 2007, Pages

  Stella, Lorenzo ^a   Santoro, Giuseppe E ^a,b  

^a DEMOCRITOS NATIONAL SIMULATION CENTER   (Italy)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ANNEALING; GREEN'S FUNCTION; MONTE CARLO METHODS; QUANTUM THEORY; SIMULATED ANNEALING; WAVE FUNCTIONS;

QUANTUM ANNEALING (QA); QUANTUM GLASS; TRANSVERSE FIELDS;

SPIN GLASS;

EID: 33947250659     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.036703     Document Type: Article

References (33)

1. Quantum Annealing and Related Optimization Methods, edited by, A. Das, and, B. K. Chakrabarti, Lecture Notes in Physics (Springer-Verlag, Berlin, 2005).
2. G. E. Santoro and E. Tosatti, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/36/R01 39, R393 (2006).
3. S. Kirkpatrick, C. D. Gelatt, Jr., and M. P. Vecchi, Science SCIEAS 0036-8075 10.1126/science.220.4598.671 220, 671 (1983).
4. E. Fahri, J. Goldstone, S. Gutmann, and M. Sipser, e-print quant-ph/0001106.
5. Y. H. Lee and B. J. Berne, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp991868i 104, 86 (2000).
6. P. Liu and B. J. Berne, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1527919 118, 2999 (2003).
7. G. E. Santoro, R. Martoňák, E. Tosatti, and R. Car, Science SCIEAS 0036-8075 10.1126/science.1068774 295, 2427 (2002).
8. R. Martoňák, G. E. Santoro, and E. Tosatti, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.094203 66, 094203 (2002).
9. M. Sarjala, V. Petäjä, and M. Alava, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2006) P01008.
10. Y. H. Lee and B. J. Berne, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp002589u 105, 459 (2001).
11. T. Gregor and R. Car, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/j.cplett.2005.06.075 412, 125 (2005).
12. R. Martoňák, G. E. Santoro, and E. Tosatti, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.057701 70, 057701 (2004).
13. D. A. Battaglia, G. E. Santoro, and E. Tosatti, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.066707 71, 066707 (2005).
14. C. H. Papadimitriou and K. Steiglitz, Combinatorial Optimization: Algorithms and Complexity (Dover, New York, 1998).
15. M. R. Garey and D. S. Johnson, Computers and Intractability (Freeman, New York, 1979).
16. L. Stella, G. E. Santoro, and E. Tosatti, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.144302 73, 144302 (2006).
17. W. M. C. Foulkes, L. Mitas, R. J. Needs, and G. Rajagopal, Rev. Mod. Phys. RMPHAT 10.1103/RevModPhys.73.33 0034-6861 73, 33 (2001).
18. F. Barahona, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/15/10/028 15, 3241 (1982).
19. C. De Simone, M. Diehl, M. Jünger, P. Mutzel, G. Reinelt, and G. Rinaldi, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02178370 80, 487 (1995).
20. A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1962), Vol. 2.
21. S. Morita and H. Nishimori, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/45/004 39, 13903 (2006).
22. J. Brooke, D. Bitko, T. F. Rosenbaum, and G. Aeppli, Science SCIEAS 0036-8075 10.1126/science.284.5415.779 284, 779 (1999).
23. J. Brooke, T. F. Rosenbaum, and G. Aeppli, Nature (London) NATUAS 0028-0836 10.1038/35098037 413, 610 (2001).
24. L. Stella, G. E. Santoro, and E. Tosatti, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.014303 72, 014303 (2005).
25. M. Calandra Buonaura and S. Sorella, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.11446 57, 11446 (1998).
26. M. H. Kalos and P. A. Whitlock, Monte Carlo Methods (Wiley, New York, 1986), Vol. 1.
27. L. Stella and G. E. Santoro, e-print cond-mat/0608420.
28. K. Binder and A. P. Young, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.58.801 58, 801 (1986).
29. T. Castellani and A. Cavagna, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2005) P05012.
30. N. Trivedi and D. M. Ceperley, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.4552 41, 4552 (1990).
31. B. L. Hammond, W. A. Lester, and P. J. Reynolds, Monte Carlo Methods in Ab Initio Quantum Chemistry (World Scientific, Singapore, 1994).
32. H. Nishimori and J.-I. Inoue, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/31/26/007 31, 5661 (1998).
33. S. Sorella, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.241103 71, 241103 (R) (2005).