One-dimensional three-state quantum walk

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 72, Issue 5, 2005, Pages

  Inui, Norio ^a   Konno, Norio ^b   Segawa, Etsuo ^b  

^a UNIVERSITY OF HYOGO   (Japan)

^b YOKOHAMA NATIONAL UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

INITIAL STATES; QUBIT STATE; SPATIAL DISTRIBUTION;

DEGREES OF FREEDOM (MECHANICS); PROBABILITY;

QUANTUM THEORY;

EID: 28844486739     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.056112     Document Type: Article

References (23)

1. Y. Aharonov, L. Davidovich, and N. Zagury, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.48.1687 48, 1687 (1993).
2. D. Meyer, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02199356 85, 551 (1996).
3. A. Ambanis, E. Bach, A. Nayak, A. Vishwanath, and J. Watrous (unpublished).
4. D. Aharonov, A. Ambainis, J. Kempe, and U. V. Vazirani (unpublished).
5. B. Tregenna and J. Miburn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.032310 65, 032310 (2002).
6. L. K. Grover, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.325 79, 325 (1997).
7. N. Shenvi, J. Kempe, and K. B. Whaley, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.052307 67, 052307 (2002).
8. A. Ambainis, J. Kempe, and A. Rivosh, e-print quant-ph/0402107.
9. P. L. Knight, E. Roldán, and J. E. Sipe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.020301 68, 020301 (R) (2003).
10. D. Bouwmeester, I. Marzoli, G. P. Karman, W. Schleich, and J. P. Woerdman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.013410 61, 013410 (1999).
11. V. Kendon and B. C. Sanders, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.022307 71, 022307 (2005).
12. T. Oka, N. Konno, R. Arita, and H. Aoki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.100602 94, 100602 (2005).
13. N. Konno, Quantum Inf. Process. QIPUAT 1570-0755 10.1023/A:1023413713008 1, 345 (2002).
14. N. Konno, J. Math. Soc. Jpn. NISUBC 0025-5645 57, 1179 (2005).
15. G. Grimmett, S. Janson, and P. F. Scudo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.026119 69, 026119 (2004).
16. M. Katori, S. Fujino, and N. Konno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.012316 72, 012316 (2005).
17. T. D. Mackay, S. D. Bartlett, L. T. Stephanson, and B. C. Sanders, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/12/304 35, 2745 (2002).
18. B. Tregenna, W. Flanagan, W. Maile, and V. Kendon, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/5/1/383 5, 83 (2003).
19. N. Inui, Y. Konishi, and N. Konno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.052323 69, 052323 (2004).
20. T. Brun, A. Ambainis, and H. A. Carteret, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.052317 67, 052317 (2003).
21. N. Inui and N. Konno, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.12.060 353, 133 (2005).
22. N. Konno, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.026113 72, 026113 (2005).
23. N. Inui, Y. Konishi, N. Konno, and T. Soshi, Int. J. Quantum Inf. 0219-7499 3, 535 (2005).