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Trapped Ion Quantum Computing

An analytic solution for one-dimensional quantum walks

arXiv
Authors: Ian Fuss, Lang White, Peter Sherman, Sanjeev Naguleswaran

Year

2007

Paper ID

50441

Status

Preprint

Abstract Read

~2 min

Abstract Words

68

Citations

N/A

Abstract

The first general analytic solutions for the one-dimensional walk in position and momentum space are derived. These solutions reveal, among other things, new symmetry features of quantum walk probability densities and further insight into the behaviour of their moments. The analytic expressions for the quantum walk probability distributions provide a means of modelling quantum phenomena that is analogous to that provided by random walks in the classical domain.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2007 reference point for readers tracking recent quantum research.
  • The first general analytic solutions for the one-dimensional walk in position and momentum space are derived.

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