Skip to Main content Skip to Navigation
Conference papers

Quantum random walks in one dimension via generating functions

Abstract : We analyze nearest neighbor one-dimensional quantum random walks with arbitrary unitary coin-flip matrices. Using a multivariate generating function analysis we give a simplified proof of a known phenomenon, namely that the walk has linear speed rather than the diffusive behavior observed in classical random walks. We also obtain exact formulae for the leading asymptotic term of the wave function and the location probabilities.
Complete list of metadata

Cited literature [16 references]  Display  Hide  Download

https://hal.inria.fr/hal-01184781
Contributor : Coordination Episciences Iam <>
Submitted on : Monday, August 17, 2015 - 4:59:25 PM
Last modification on : Thursday, May 11, 2017 - 1:03:02 AM
Long-term archiving on: : Wednesday, November 18, 2015 - 12:16:10 PM

File

dmAH0130.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01184781, version 1

Collections

Citation

Andrew Bressler, Robin Pemantle. Quantum random walks in one dimension via generating functions. 2007 Conference on Analysis of Algorithms, AofA 07, 2007, Juan les Pins, France. pp.443-456. ⟨hal-01184781⟩

Share

Metrics

Record views

110

Files downloads

714