Aperiodic quantum random walks.

@article{Ribeiro2004AperiodicQR,
  title={Aperiodic quantum random walks.},
  author={Pedro Ribeiro and Perola Milman and R{\'e}my Mosseri},
  journal={Physical review letters},
  year={2004},
  volume={93 19},
  pages={
          190503
        }
}
We generalize the quantum random walk protocol for a particle in a one-dimensional chain, by using several types of biased quantum coins, arranged in aperiodic sequences, in a manner that leads to a rich variety of possible wave-function evolutions. Quasiperiodic sequences, following the Fibonacci prescription, are of particular interest, leading to a sub-ballistic wave-function spreading. In contrast, random sequences lead to diffusive spreading, similar to the classical random walk behavior… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 11 references

Phys

Y. Aharonov, L. Davidovich, N. Zagury
Rev. A 48, 1687 • 1993
View 11 Excerpts
Highly Influenced

Phys

M. Hillery, J. Bergou, E. Feldman
Rev. A 68, 032314 (2003); H. Jeong, M. Paternostro, and M. S. Kim, Phys. Rev. A 69, 012310 • 2004

Contemp

J. Kempe
Phys. 44, 302 • 2003
View 3 Excerpts

Phys

N. Shenvi, J. Kempe, K. Brigitta Whaley
Rev. A 67, 052307 • 2003

Phys

B. C. Travaglione, G. J. Milburn
Rev. A 65, 032310 • 2002

Phys

W. Dür, R. Raussendorf, V. M. Kendon, H.-J. Briegel
Rev. A 66, 052319 • 2002

and J

A. Ambianis, E. Bach, A. Nayak, A. Wishwanath
Watrous, Proceedings of the 33rd STOC • 2001
View 1 Excerpt

Condens

J. X. Zhong, R. Mosseri, J. Phys
Matter 7, 8383 • 1995
View 2 Excerpts

Phys

S. Abe, H. Hiramoto
Rev. A 36, 5349 • 1987

Phys

B. Sutherland
Rev. Lett. 57, 770 • 1986