Quantum walks with history dependence

A. P. Flitney, D. Abbott, N. F. Johnson

Research output: Contribution to journalArticle

32 Scopus citations

Abstract

We introduce a multi-coin discrete quantum walk where the amplitude for a coin flip depends upon previous tosses. Although the corresponding classical random walk is unbiased, a bias can be introduced into the quantum walk by varying the history dependence. By mixing the biased walk with an unbiased one, the direction of the bias can be reversed leading to a new quantum version of Parrondo's paradox.

Original languageEnglish (US)
Pages (from-to)7581-7591
Number of pages11
JournalJournal of Physics A: Mathematical and General
Volume37
Issue number30
DOIs
StatePublished - Jul 30 2004

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Quantum walks with history dependence'. Together they form a unique fingerprint.

  • Cite this