Hostname: page-component-5c6d5d7d68-txr5j Total loading time: 0 Render date: 2024-08-16T02:11:50.823Z Has data issue: false hasContentIssue false

Quantum Information

Published online by Cambridge University Press:  31 January 2011

Get access

Abstract

The following article is based on the plenary address by Luiz Davidovich (Federal University of Rio de Janeiro), presented on April 14, 2004, at the 2004 MRS Spring Meeting in San Francisco. The field of quantum information is a discipline that aims to investigate methods for characterizing, transmitting, storing, compressing, and computationally utilizing the information carried by quantum states. It owes its rapid development over the last few years to several factors: the ability, developed in several laboratories, to control and measure simple microscopic systems; the discovery of fast quantum algorithms; and the recognition that Moore's law will soon lead to the single-atom limit of elementary computing gates.Cryptography and quantum computing are among the main applications in the field.They rely on the subtle and fundamental properties of the quantum world: the unavoidable disturbance associated with measurement, the superposition principle, and the nonlocal properties of entangled states. Progress in this area is intimately connected to a deep understanding of quantum physics: recent achievements include the experimental demonstration of teleportation and detailed investigations of the role of the environment in the quantum–classical transition. This article reviews basic concepts and recent developments in the field of quantum information, emphasizing the close ties between fundamental research and possible applications.

Type
Research Article
Copyright
Copyright © Materials Research Society 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Schrödinger, E., Br. J. Philosophy Sci. 3 (1952) p. 109.CrossRefGoogle Scholar
2. See, for instance, The Physics of Quantum Information, edited by Bouwmeester, D., Ekert, A., and Zeilinger, A. (Springer, Berlin, 2000).CrossRefGoogle Scholar
3.Schrödinger, E., Naturw. 23 (1935) pp. 807, 823, and 844. English translation by J.D. Trimmer, Proc. Am. Phys. Soc. 124 (1980) p. 3235; A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47 (1935) p. 777.CrossRefGoogle Scholar
4. For a detailed review of this field, see, for instance, Nielsen, M.A. and Chuang, I.L., Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000), or the lecture notes by J. Preskill, available at http://www.theory.caltech.edu/people/preskill/ph229/ (accessed December 2004).Google Scholar
5.Shor, P.W., “Algorithms for quantum computation: Discrete logarithms and factoring,” Proc. 35nd Annu. Symp. on Foundations of Comp. Sci. (IEEE Computer Society Press, 1994) p. 124; P.W. Shor, SIAM J. Computing 26 (1997) p. 1484.Google Scholar
6.Grover, L., Phys. Rev. Lett. 79 (1997) p. 325.CrossRefGoogle Scholar
7.Benioff, P., Phys. Rev. Lett. 48 (1982) p. 1581.CrossRefGoogle Scholar
8.Feynman, R.P., Int. J. of Theor. Phys. 21 (1982) p. 467; Optics News 11 (1985) p. 11.CrossRefGoogle Scholar
9.Deutsch, D., Proc. R. Soc. London, Ser. A 400 (1985) p. 97.Google Scholar
10.Wootters, W.K. and Zurek, W.H., Nature 299 (1982) p. 802.CrossRefGoogle Scholar
11.Bennett, C.H. and Brassard, G., “Quantum cryptography: Public key distribution and coin tossing,” in Proc. IEEE Int. Conf. Computers, Systems, and Signal Processing (1984) p. 175.Google Scholar
12. For a review, see Gisin, N., Ribordy, G., Tittel, W., and Zbinden, H., Rev. Mod. Phys. 74 (2002) p. 145.CrossRefGoogle Scholar
13.Poppe, A., Fedrizzi, A., Ursin, R., Böhm, H.R., Lörunser, T., Maurhardt, O., Peev, M., Suda, M., Kurtsiefer, C., Weinfurter, H., Jennewein, T., and Zeilinger, A., Opt. Express 12 (2004) p. 3865.CrossRefGoogle Scholar
14. id Quantique SA home page, http://www.idquantique.com/; MagiQ Technologies home page, http://www.magiqtech.com/; NEC Corp. home page, http://www.nec.com/; Toshiba Research Europe Ltd. home page http://www.toshiba-europe.com/research/ (accessed December 2004).Google Scholar
15.Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., and Wootters, W., Phys. Rev. Lett. 70 (1993) p. 1895.CrossRefGoogle Scholar
16.Davidovich, L., Zagury, N., Brune, M., Raimond, J.M., and Haroche, S., Phys. Rev. A 50 (1994) p. R895.CrossRefGoogle Scholar
17. For reviews, see Berman, P., Ed., Cavity Quantum Electrodynamics (Academic Press, New York, 1994).Google Scholar
18.Bouwmeester, D., Pan, J.-W., Mattle, K., Eibl, M., Weinfurter, H., and Zeilinger, A., Nature 390 (1997) p. 575; D. Boschi, S. Branca, F. DeMartini, L. Hardy, and S. Popescu, Phys. Rev. Lett. 80 (1998) p. 1121; A. Furusawa, J.L. Sørensen, S.L. Braunstein, C.A. Fuchs, H.J. Kimble, and E.S. Polzik, Science 282 (1998) p. 706; M.A. Nielsen, E. Knill, and R. Laflamme, Nature 396 (1998) p. 52; I. Marcikic, H. de Riedmatten, W. Tittel, H. Zbinden, and N. Gisin, Nature 421 (2003) p. 509; M. Riebe, H. Häffner, C.F. Roos, W. Hänsel, J. Benhelm, G.P.T. Lancaster, T.W. Körber, C. Becher, F. Schmidt-Kaler, D.F.V. James, and R. Blatt, Nature 429 (2004) p. 734; M.D. Barrett, J. Chiaverini, T. Schaetz, J. Britton, W. M. Itano, J.D. Jost, E. Knill, C. Langer, D. Leibfried, R. Ozeri, and D.J. Wineland, Nature 429 (2004) p. 737; R. Ursin, T. Jennewein, M. Aspelmeyer, R. Kaltenbaek, M. Lindenthal, P. Walther, and A. Zeilinger, Nature 430 (2004) p. 849.CrossRefGoogle Scholar
19.DiVincenzo, D.P., Phys. Rev. A 51 (1995) p. 1015; A. Barenco, C.H. Bennett, R. Cleve, D.P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. Smolin, and H. Weinfurter, Phys. Rev. A 52 (1995) p. 3457.CrossRefGoogle Scholar
20.DiVincenzo, D.P., Fortschritte der Physik 48 (9–11) (2000) p. 771.3.0.CO;2-E>CrossRefGoogle Scholar
21.Cirac, J.I. and Zoller, P., Phys. Rev. Lett. 74 (1995) p. 4091.CrossRefGoogle Scholar
22.Loss, D. and DiVincenzo, D.P., Phys. Rev. A 57 (1998) p. 120; A. Imamoglu, D.D. Awschalom, G. Burkard, D.P. DiVincenzo, D. Loss, M. Sherwin, and A. Small, Phys. Rev. Lett. 83 (1999) p. 4204.CrossRefGoogle Scholar
23.Averin, D.V., J. Low Temp. Phys. 118 (2000) p. 781; Y. Nakamura, Yu.A. Pashkin, and J.S. Tsai, Nature 398 (1999) p. 786; J.E. Mooij, T.P. Orlando, L. Levitov, L. Tian, C.H. van der Wal, and S. Lloyd, Science 285 (1999) p. 1036; I. Chiorescu, Y. Nakamura, C.J.P.M. Harmans, and J.E. Mooij, Science 299 (2003) p. 1869; Y. Makhlin, G. Schön, and A. Shnirman, Nature 398 (1999) p. 305; Y. Makhlin, G. Schön, and A. Shnirman, Rev. Mod. Phys. 73 (2001) p. 357.CrossRefGoogle Scholar
24.Gershenfeld, N.A. and Chuang, I.L., Science 275 (1997) 350; L.M.K. Vandersypen, M. Steffen, G. Breyta, C.S. Yannoni, M.H. Sherwood, and I.L. Chuang, Nature 414 (2001) p. 883.CrossRefGoogle Scholar
25.Kane, B.E., Nature 393 (1998) p. 133.CrossRefGoogle Scholar
26.Jaksch, D., Bruder, C., Cirac, J.I., Gardiner, C.W., and Zoller, P., Phys. Rev. Lett. 81 (1998) p. 3108; I.H. Deutsch, G.K. Brennen, and P.S. Jessen, Fortschritte der Physik 48 (2000) p. 925; M. Greiner, O. Mandel, T. Esslinger, T.W. Hänsch, and I. Bloch, Nature 415 (2002) p. 39.CrossRefGoogle Scholar
27.Schmidt-Kaler, F., Häffner, H., Riebe, M., Gulde, S., Lancaster, G.P.T., Deuschle, T., Becher, C., Roos, C.F., Eschner, J., and Blatt, R., Nature 422 (2003) p. 408; D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W.M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D.J. Wineland, Nature 422 (2003) p. 412.CrossRefGoogle Scholar
28.Shor, P.W., Phys. Rev. A 52 (1995) p. R2493; A.M. Steane, Phys. Rev. Lett. 77 (1996) p. 793; R. Laflamme, C. Miquel, J.P. Paz, and W.H. Zurek, Phys. Rev. Lett. 77 (1996) p. 198.CrossRefGoogle Scholar
29.Lidar, D.A., Chuang, I.L., and Whaley, K.B., Phys. Rev. Lett. 81 (1998) p. 2594.CrossRefGoogle Scholar
30.Carvalho, A.R.R., Milman, P., de Matos Filho, R.L., and Davidovich, L., Phys. Rev. Lett. 86 (2001) p. 4988.CrossRefGoogle Scholar
31. See, for instance, Preskill, J., Proc. R. Soc. London, Ser. A 454 (1998) p. 384; E. Knill, R. Laflamme, and W.H. Zurek, Science 279 (1998) p. 342; and D. Aharonov, in Annu. Rev. Comput. Phys. VI, edited by D. Stauffer (World Scientific, Singapore, 1999).Google Scholar
32. For a review, see Zurek, W.H., Rev. Mod. Phys. 75 (2003) p. 715.CrossRefGoogle Scholar
33.Davidovich, L., Brune, M., Raimond, J.M., and Haroche, S., Phys. Rev. A 53 (1996) p. 1295; M. Brune, E. Hagley, J. Dreyer, X. Maître, A. Maali, C. Wunderlich, J.M. Raimond, and S. Haroche, Phys. Rev. Lett. 77 (1996) p. 4887.CrossRefGoogle Scholar
34.Leibfried, D., Barrett, M.D., Schaetz, T., Britton, J., Chiaverini, J., Itano, W.M., Jost, J.D., Langer, C., and Wineland, D.J., Science 304 (2004) p. 1476.CrossRefGoogle Scholar
35.Bennett, C.H., seminar presentation. Asimilar diagram can be found at http://www.research.ibm.com/quantuminfo/teleportation/ (accessed December 2004).Google Scholar