Quantum lattice-gas model for the many-particle Schrödinger equation in [Formula Presented] dimensions

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 1, 1998, Pages 54-66

  Boghosian, Bruce M ^a   Taylor, Washington ^b  

^a Boston University   (United States)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002303805     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.54     Document Type: Article

References (24)

1. U. Frisch, B. Hasslacher, and Y. Pomeau, Phys. Rev. Lett. 56, 1505 (1986)
2. U. Frisch, D. d’Humières, B. Hasslacher, P. Lallemand, Y. Pomeau, and J.-P. Rivet, Complex Syst. 1, 648 (1987)
3. S. Wolfram, J. Stat. Phys. 45, 471 (1986)
4. M. Creutz, Quarks, Gluons, and Lattices (Cambridge University Press, Cambridge, 1983).
5. R. P. Feynman (unpublished)[reproduced in
6. S. S. Schweber, Rev. Mod. Phys. 58, 449 (1986)]
7. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965), pp. 35–36.
8. S. Succi and R. Benzi, Physica D 69, 327 (1993)
9. L. Kauffman and H. Noyes, Phys. Lett. A 218, 139 (1996)
10. D. Meyer, J. Stat. Phys. 85, 551 (1996)
11. S. Succi, Phys. Rev. E 53, 1969 (1996).
12. R. Benzi, S. Succi, and M. Vergassola (unpublished).
13. See, e.g., 13 and
14. D. Deutsch, Proc. R. Soc. London, Ser. A 400, 96 (1985); PRLAAZ
15. Proc. R. Soc. London, Ser. AD. Deutsch425, 73 (1989);
16. C. H. Bennett, Phys. Today 48, 24 (1995)
17. R. Feynman, Int. J. Theor. Phys. 21, 467 (1982); IJTPBM
18. R. FeynmanFound. Phys. 16, 507 (1986);
19. S. Lloyd, Science 273, 1073 (1996)
20. P. W. Shor, in Algorithms for Quantum Computation: Discrete Log and Factoring, Proceedings of the 35th Annual Symposium on the Foundations of Computer Science, edited by S. Goldwasser (IEEE Computer Society, Los Alamitos, CA, 1994), p. 124.
21. S. Lloyd, Phys. Rev. Lett. 75, 346 (1995); PRLTAO
22. A. Barenco, C. H. Bennett, R. Cleve, D. DiVincenzo, N. H. Margolus, P. Shor, T. Sleator, J. Smolin, and H. Weinfurter, Phys. Rev. A 52, 3457 (1995)
23. D. S. Abrams and S. Lloyd (unpublished).
24. P. W. Shor, in Proceedings of the 37th Annual Symposium on the Foundations of Computer Science (IEEE Comput. Soc. Press, Los Alamitos, CA, 1996), pp. 56–65, and references therein.