One-dimensional quantum walks subject to next-nearest-neighbour hopping decoherence

One-dimensional quantum walks subject to next-nearest-neighbour hopping decoherence It is believed that the decoherence will lead to a crossover from quantum to classical for the diffusive behaviour of discrete quantum walk in the long time limit. However, a few systems with sub-ballistic diffusive behaviours have been found in some non-unitary quantum walks. In this paper, we study the one-dimensional discrete quantum walks subject to a short-range hopping decoherence, i.e. with a probability the walker could hop to next-nearest-neighbour lattices unilaterally and/or bilaterally in one time step. We find that, when the decoherence effects only come from the bilateral hopping operation, the diffusive behaviours of quantum walks are sub-ballistic and the distributions of position exhibit three peaks. These results are quite different from those of the previous non-unitary quantum walks. Our results could be used to improve the algorithmic properties of quantum walk due to its faster diffusive speed and more uniform spreading. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

One-dimensional quantum walks subject to next-nearest-neighbour hopping decoherence

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Publisher
Springer US
Copyright
Copyright © 2015 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-1012-2
Publisher site
See Article on Publisher Site

References

  • Spatial search by quantum walk
    Childs, AM; Goldstone, J
  • Quantum search algorithms
    Ambainis, A
  • Quantum walks: a comprehensive review
    Venegas-Andraca, SE

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