Cryptography, quantum computation and trapped ions

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 356, Issue 1743, 1998, Pages 1853-1868

  Hughes, Richard J ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Decoherence; Laser cooling; Public key cryptography; Quantum computation

Indexed keywords

EID: 3042874527     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1998.0253     Document Type: Article

References (42)

1. Atkins, D., Graff, M., Lenstra, A. K. & Leyland, P. C. 1994 Advances in cryptology - ASIACRYPT'94, pp. 263. New York: Springer.
2. Beckman, D., Chari, A. N., Devabhaktuni, S. & Preskill, J. 1996 Phys. Rev. A 54, 1034.
3. Benioff, P. 1982 Phys. Rev. Lett. 48, 1581.
4. Bennett, C. H. & Brassard, G. 1984 Quantum cryptography: public key distribution and coin tossing. Proc. IEEE Int. Conf. on Computers, Systems and Signal Processing, Bangalore. New York: York.
5. Cirac, J. I. & Zoller, P. 1995 Phys. Rev. Lett. 74, 4094.
6. Cory, D. G., Fahmy, A. F. & Havel, T. F. 1997 Proc. Natn. Acad. Sci. 94, 1634.
7. Cowie, J., Dodson, B., Marije Elkenbracht-Huizing, R., Lenstra, A. K., Montgomery, P. L. & Zayer, J. 1996 Advances in cryptology - ASIACRYPT'96 (ed. K. Kim & T. Matsumoto), p. 382. New York: Springer.
8. Deutsch, D. 1985 Proc. R. Soc. Lond. A 400, 97.
9. Ekert, A. K. & Josza, R. 1996 Rev. Mod. Phys. 68, 733-753.
10. Feynman, R. P. 1986 Found. Phys. 16, 507.
11. Feynman, R. P. 1996 The Feynman lectures on computation (ed. A. J. G. Hey & R. W. Allen). New York: Addison-Wesley.
12. Gardner, M. 1977 Sci. Am. 237, 120.
13. Gershenfeld, N. A. & Chuang, I. L. 1997 Science 275, 350.
14. Grover, L. K. 1996 Proc. 28th A. ACM Symp. on the Theory of Computing, pp. 212. New York: ACM.
15. Haroche, S. & Raimond, J.-M. 1996 Physics Today (August), p. 51.
16. Hughes, R. J. & James, D. F. V. 1998 Prospects for quantum computation with trapped ions. In Proc. of the University of Maryland Baltimore County Conf. on Fundamental problems in quantum theory. (Los Alamos report LA-UR-97-3967.) (In the press.)
17. Hughes, R. J. & Neergaard, M. S. 1998. (In the press.)
18. Hughes, R. J., Alde, D. M., Dyer, P., Luther, G. G., Morgan, G. L. & Schauer, M. 1995 Contemp. Phys. 36, 149.
19. Hughes, R. J., Luther, G. G., Morgan, G. L., Peterson, C. G. & Simmons, C. 1996a Lecture Notes in Computer Science 1109, 329.
20. Hughes, R. J., James, D. F. V., Knill, E. H., Laflamme, R. & Petschek, A. G. 1996b Phys. Rev. Lett. 77, 3240.
21. Hughes, R. J., and 14 others 1997 The Los Alamos trapped-ion quantum computer experiment. Fortsch. Phys. (quant-ph/9708050.) (In the press.)
22. Hughes, R. J., James, D. F. V. & Lamoreaux, S. K. 1998. (In preparation.)
23. James, D. F. V. 1997 Quantum dynamics of cold trapped ions, with application to quantum computation. Appl. Phys. B 66, 181. (quant-ph 9702053.)
24. James, D. F. V., Hughes, R. J., Knill, E. H., Laflamme, R. & Petschek, A. G. 1997 Proc. SPIE 3076, 42.
25. Lamoreaux, S. K. 1998 Phys. Rev A 56, 4970.
26. Lenstra, A. K. & Lenstra, H. W. 1993 The development of the number field sieve. In Springer Lecture Notes in Mathematics 1554. New York: Springer.
27. Lloyd, S. 1995 Scient. Am. 273, 140.
28. Menzenes, A. J., van Oorschot, P. C. & Vanstone, S. A. 1997 Handbook of applied cryptography. Boca Raton, FL: CRC.
29. Monroe, C., Meekhof, D. M., King, B. E., Itano, W. M. & Wineland, D. J. 1995 Phys. Rev. Lett. 75, 4714.
30. Plenio, M. B. & Knight, P. L. 1996 Decoherence limits to quantum computation using trapped ions. Phys. Rev. A 53, 2986.
31. Pomerance, C. 1996 Notices AMS 43, 1473.
32. Preskill, J. 1998 Proc. R. Soc. Lond. A 454, 385.
33. Riesel, H. 1994 Prime numbers and computer methods for factorization. Boston, MA: Birkhauser.
34. Rivest, R. L., Shamir, A. & Adelman, L. M. 1978 Comm. ACM 21, 120.
35. Schneier, B. 1996 Applied cryptography. New York: Wiley.
36. Schroeder, M. R. 1992 Number theory in science and communication. New York: Springer.
37. Shor, P. W. 1994 Algorithms for quantum computation: discrete logarithm and factoring. In Proc. 35th A. Symp. on the Foundations of Computer Science (ed. S. Goldwasser), p. 124. Los Alamitos, CA: IEEE.
38. Simon, D. 1994 In Proc. 35th A. Symp. on the Foundations of Computer Science (ed. S. Goldwasser), p. 124. Los Alamitos, CA: IEEE.
39. Turchette, Q. A., Hood, C. J., Lange, W., Mabuchi, H. & Kimble, H. J. 1995 Phys. Rev. Lett. 75, 4710.
40. Warren, W. S. 1997 Science 277, 1688.
41. Wineland, D. J. & Dehmelt, H. G. 1975 J. Appl. Phys. 46, 919.
42. Wineland, D. J., Bollinger, J. J., Heinzen, D. J. & Itano, W. M. 1994 Phys. Rev. A 50, 67.