arXiv:1103.3899 [quant-ph]AbstractReferencesReviewsResources
Limit Theorems For Quantum Walks Associated with Hadamard Matrices
Published 2011-03-20, updated 2011-07-22Version 4
We study a one-parameter family of discrete-time quantum walk models on the line and in the xy-plane associated with the Hadamard walk. Weak convergence in the long-time limit of all moments of the walker's pseudo-velocity on the line and in the xy-plane is proved. Symmetrization on the line and in the xy-plane is theoretically investigated, leading to the resolution of the Konno-Namiki-Soshi conjecture in the special case of symmetrization of the unbiased Hadamard walk on the line . A necessary condition for the existence of a phenomenon known as localization is given.
Journal: Physical Review A, Volume 84, Number 1,012324 (2011)
Keywords: quantum walks, limit theorems, hadamard matrices, discrete-time quantum walk models, hadamard walk
Tags: journal article
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