Quantum walks with history dependence

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

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


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
Issue number30
StatePublished - Jul 30 2004

ASJC Scopus subject areas

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


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