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- Title
One-dimensional quantum walks subject to next-nearest-neighbour hopping decoherence.
- Authors
Zhao, Jing; Tong, Peiqing
- Abstract
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.
- Subjects
QUANTUM computing; DECOHERENCE (Quantum mechanics); QUANTUM theory; PROBABILITY theory; QUANTUM coherence
- Publication
Quantum Information Processing, 2015, Vol 14, Issue 7, p2357
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-015-1012-2