Decoherence in Two-Dimensional Quantum Random Walks with Traps

Details Decoherence in Two-Dimensional Quantum Random Walks with Traps Decoherence in Two-Dimensional Quantum Random Walks with Traps

2009-09-07

arxiv.org/abs/0909.1353v1

Phys. Rev. A 80, 022336 (2009)

Physics

Quantum Physics

7 pages, 9 figures

Scientific paper

10.1103/PhysRevA.80.022336

Quantum random walk in a two-dimensional lattice with randomly distributed traps is investigated. Distributions of quantum walkers are evaluated dynamically for the cases of Hadamard, Fourier, and Grover coins, and quantum to classical transition is examined as a function of the density of the traps. It is shown that traps act as a serious and additional source of quantum decoherence. Furthermore, non-trivial temporal dependence of the standard deviation of the probability distribution of the walker is found when the trapping imperfections are introduced.

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