Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/43692
Type: | Journal article |
Title: | Momentum dynamics of one dimensional quantum walks |
Author: | Fuss, Ian White, Langford Barton Sherman, Peter J. Naguleswaran, Sanjeevan |
Citation: | arXiv:quant-ph/0604197v2, 2006; 24 May:1-6 |
Issue Date: | 2006 |
School/Discipline: | School of Electrical and Electronic Engineering |
Statement of Responsibility: | Ian Fuss, Langord B. White, Peter J. Sherman, Sanjeev Naguleswaran |
Abstract: | We derive the momentum space dynamic equations and state functions for one dimensional quantum walks by using linear systems and Lie group theory. The momentum space provides an analytic capability similar to that contributed by the z transform in discrete systems theory. The state functions at each time step are expressed as a simple sum of three Chebyshev polynomials. The functions provide an analytic expression for the development of the walks with time. |
Keywords: | Quantum Physics (quant-ph) |
Rights: | Submitted to Cornell University’s online archive www.arXiv.org in 2006 by Sanjeev Naguleswaran. Post-print sourced from www.arxiv.org |
Published version: | http://arxiv.org/abs/quant-ph/0604197v2 |
Appears in Collections: | Electrical and Electronic Engineering publications |
Files in This Item:
File | Size | Format | |
---|---|---|---|
hdl_43692.pdf | 134.61 kB | Publisher's post-print | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.