Abstract:
The quantum walk on a cycle is analyzed using discrete Wigner functions as a way to represent the states and the evolution of the walker. Phase-space distributions are used to represent the quantum states of the walker. The behavior of the system when the quantum coin carried by the walker interacts with an environment is studied. It is shown that for this system, quantum coherence is robust for initially delocalized states of the walker.
Registro:
Documento: |
Artículo
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Título: | Phase-space approach to the study of decoherence in quantum walks |
Autor: | López, C.C.; Paz, J.P. |
Filiación: | Depto. de Fis. J. J. Giambiagi, FCEyN UBA, Ciudad Universitaria, Pabellón 1, 1428 Buenos, Aires, Argentina Theoretical Division, MSB210, Los Alamos National Laboratory, Los Alamos, NM 87545, United States
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Palabras clave: | Algorithms; Diffusion; Eigenvalues and eigenfunctions; Fourier transforms; Functions; Matrix algebra; Phase space methods; Wave interference; Quantum walks; Wigner functions; Quantum theory |
Año: | 2003
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Volumen: | 68
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Número: | 5
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Página de inicio: | 523051
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Página de fin: | 523059
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Título revista: | Physical Review A - Atomic, Molecular, and Optical Physics
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Título revista abreviado: | Phys Rev A
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ISSN: | 10502947
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CODEN: | PLRAA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v68_n5_p523051_Lopez |
Referencias:
- Kempe, J., (2003) Contemp. Phys., 44, p. 307
- Aharonov, D., Ambainis, A., Kempe, J., Vazirani, U., Proceedings of the 33rd Annual ACM Symposium on Theory of Computing (STOC 2001), pp. 50-59. , unpublished, e-print quant-ph/0012090
- Childs, A.M., Cleve, R., Deotto, E., Farhi, E., Gutmann, S., Spielman, D.A., Proceedings of the 35th Annual ACM Symposium on Theory of Computing (STOC 2003), pp. 59-68. , unpublished, e-print quant-ph/0209131
- Shenvi, N., Kempe, J., Birgitta Whaley, K., (2003) Phys. Rev. A, 67, p. 052307
- Kendon, V., Tregenna, B., (2003) Phys. Rev. A, 67, p. 042315
- Brun, T.A., Carteret, H.A., Ambainis, A., (2003) Phys. Rev. A, 67, p. 032304
- Kendon, V., Tregenna, B., e-print quant-ph/0301182; Paz, J.P., Zurek, W.H., (2001) Coherent Matter Waves, pp. 533-614. , Les Houches Session LXXII, edited by R. Kaiser, C. Westbrook, and F. David (Springer-Verlag, Berlin)
- Travaglione, B.C., Milburn, G.J., (2002) Phys. Rev. A, 65, p. 032310
- Sanders, B.C., Bartlett, S.D., Tregenna, B., Knight, P.L., (2003) Phys. Rev. A, 67, p. 042305
- Dür, W., Raussendorf, R., Kendon, V.M., Briegel, H.J., (2002) Phys. Rev. A, 66, p. 052319
- Du, J., Li, H., Xu, X., Shi, M., Wu, J., Zhou, X., Han, R., (2003) Phys. Rev. A, 67, p. 042316
- Miquel, C., Paz, J.P., Saraceno, M., (2002) Phys. Rev. A, 65, p. 062309
- Zurek, W.H., (1981) Phys. Rev. D, 24, p. 1516
- Nayak, A., Vishwanath, A., e-print quant-ph/0010117; Ambainis, A., Bach, E., Nayak, A., Vishwanath, A., Watrous, J., Proceedings of the 33rd Annual ACM Symposium on Theory of Computing (STOC 2001), pp. 37-49. , unpublished
- 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. 062316
- García-Mata, I., Saraceno, M., Spina, M.E., (2003) Phys. Rev. Lett., 91, p. 064101
- 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. 046226
- Wojcik, D.K., Dorfman, J.R., (2003) Phys. Rev. Lett., 90, p. 230602. , e-print nlin.CD/0212036
- 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), 523051-523059.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v68_n5_p523051_Lopez [ ]
---------- 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) : 523051-523059.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v68_n5_p523051_Lopez [ ]
---------- 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. 523051-523059.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v68_n5_p523051_Lopez [ ]
---------- VANCOUVER ----------
López, C.C., Paz, J.P. Phase-space approach to the study of decoherence in quantum walks. Phys Rev A. 2003;68(5):523051-523059.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v68_n5_p523051_Lopez [ ]