Abstract:
We analyze the quantum walk on a cycle using discrete Wigner functions as a way to represent the states and the evolution of the walker. The method provides some insight on the nature of the interference effects that make quantum and classical walks different. We also study the behavior of the system when the quantum coin carried by the walker interacts with an environment. We show that for this system quantum coherence is robust for initially delocalized states of the walker. The use of phase-space representation enables us to develop an intuitive description of the nature of the decoherence process in this system. © 2003 The American Physical Society.
Registro:
| Documento: |
Artículo
|
| Título: | Phase-space approach to the study of decoherence in quantum walks |
| Autor: | López, C.C.; Paz, J.P. |
| Filiación: | Departamento de Física “J. J. Giambiagi", FCEyN UBA, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina
Theoretical Division, MSB210, Los Alamos National Laboratory, Los Alamos, NM, 87545, United States
|
| Año: | 2003
|
| Volumen: | 68
|
| Número: | 5
|
| Página de inicio: | 9
|
| DOI: |
http://dx.doi.org/10.1103/PhysRevA.68.052305 |
| Título revista: | Physical Review A - Atomic, Molecular, and Optical Physics
|
| Título revista abreviado: | Phys Rev A
|
| ISSN: | 10502947
|
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v68_n5_p9_Lopez |
Referencias:
- Kempe, J., (2003) Contemp. Phys., 44, p. 307
- Aharonov, D., Ambainis, A., Kempe, J., Vazirani, U., ; Childs, A.M., Cleve, R., Deotto, E., Farhi, E., Gutmann, S., Spielman, D.A., ; Shenvi, N., Kempe, J., Birgitta Whaley, K., (2003) Phys. Rev. A, 67, p. 52307
- Kendon, V., Tregenna, B., (2003) Phys. Rev. A, 67, p. 42315
- Brun, T.A., Carteret, H.A., Ambainis, A., (2003) Phys. Rev. A, 67, p. 32304
- Kendon, V., Tregenna, B., ; For a review, see J.P. Paz and W.H. Zurek, in Coherent Matter Waves, Les Houches Session LXXII, edited by R. Kaiser, C. Westbrook, and F. David (Springer-Verlag, Berlin, 2001), pp. 533–614; Travaglione, B.C., Milburn, G.J., (2002) Phys. Rev. A, 65, p. 32310
- Sanders, B.C., Bartlett, S.D., Tregenna, B., Knight, P.L., (2003) Phys. Rev. A, 67, p. 42305
- Dür, W., Raussendorf, R., Kendon, V.M., Briegel, H.J., (2002) Phys. Rev. A, 66, p. 52319
- Du, J., Li, H., Xu, X., Shi, M., Wu, J., Zhou, X., Han, R., (2003) Phys. Rev. A, 67, p. 42316
- Miquel, C., Paz, J.P., Saraceno, M., (2002) Phys. Rev. A, 65, p. 62309
- Zurek, W.H., (1981) Phys. Rev. D, 24, p. 1516
- Nayak, A., Vishwanath, A., see also A. Ambainis, E. Bach, A. Nayak, A. Vishwanath, and J. Watrous, Proceedings of the 33rd Annual ACM Symposium on Theory of Computing (STOC 2001) (unpublished), pp. 37–49; Scully, M., Hillery, M., Wigner, E., (1984) Phys. Rep., 106, p. 121
- Wooters, W.K., (1987) Ann. Phys. (N.Y.), 176, p. 1
- Leonhardt, U., (1996) Phys. Rev. A, 53, p. 2998
- Bednarska, M., Grudka, A., Kurzinski, P., Luczak, T., Wojcik, A., (2003) Phys. Lett. A, 317, p. 21
- Teklemariam, G., Fortunato, E.M., López, C.C., Emerson, J., Paz, J.P., Havel, T.F., Cory, D.G., (2003) Phys. Rev. A, 67, p. 62316
- García-Mata, I., Saraceno, M., Spina, M.E., (2003) Phys. Rev. Lett., 91, p. 64101
- Monteoliva, D., Paz, J.P., (2000) Phys. Rev. Lett., 85, p. 3373
- Bianucci, P., Paz, J.P., Saraceno, M., (2002) Phys. Rev. E, 65, p. 46226
- Wojcik, D.K., Dorfman, J.R., (2003) Phys. Rev. Lett., 90, p. 230602
- Wojcik, D.K., Dorfman, J.R., ; Saraceno, M., (1990) Ann. Phys. (San Diego), 199, p. 37
- Saraceno, M., Voros, A., (1994) Physica D, 79, p. 206
Citas:
---------- APA ----------
López, C.C. & Paz, J.P.
(2003)
. Phase-space approach to the study of decoherence in quantum walks. Physical Review A - Atomic, Molecular, and Optical Physics, 68(5), 9.
http://dx.doi.org/10.1103/PhysRevA.68.052305---------- CHICAGO ----------
López, C.C., Paz, J.P.
"Phase-space approach to the study of decoherence in quantum walks"
. Physical Review A - Atomic, Molecular, and Optical Physics 68, no. 5
(2003) : 9.
http://dx.doi.org/10.1103/PhysRevA.68.052305---------- MLA ----------
López, C.C., Paz, J.P.
"Phase-space approach to the study of decoherence in quantum walks"
. Physical Review A - Atomic, Molecular, and Optical Physics, vol. 68, no. 5, 2003, pp. 9.
http://dx.doi.org/10.1103/PhysRevA.68.052305---------- VANCOUVER ----------
López, C.C., Paz, J.P. Phase-space approach to the study of decoherence in quantum walks. Phys Rev A. 2003;68(5):9.
http://dx.doi.org/10.1103/PhysRevA.68.052305
