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Title: One-dimensional quantum walk with a moving boundary
Authors: Kwek, L.C. 
Issue Date: 15-Sep-2011
Citation: Kwek, L.C., Setiawan (2011-09-15). One-dimensional quantum walk with a moving boundary. Physical Review A - Atomic, Molecular, and Optical Physics 84 (3) : -. ScholarBank@NUS Repository.
Abstract: Quantum walks are interesting models with potential applications to quantum algorithms and physical processes such as photosynthesis. In this paper, we study two models of one-dimensional quantum walks, namely, quantum walks with a moving absorbing wall and quantum walks with one stationary and one moving absorbing wall. For the former, we calculate numerically the survival probability, the rate of change of average position, and the rate of change of standard deviation of the particle's position in the long time limit for different wall velocities. Moreover, we also study the asymptotic behavior and the dependence of the survival probability on the initial particle's state. While for the latter, we compute the absorption probability of the right stationary wall for different velocities and initial positions of the left wall boundary. The results for these two models are compared with those obtained for the classical model. The difference between the results obtained for the quantum and classical models can be attributed to the difference in the probability distributions. © 2011 American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
ISSN: 10502947
DOI: 10.1103/PhysRevA.84.032319
Appears in Collections:Staff Publications

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