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 language | English (US) |
|---|---|
| Pages (from-to) | 7581-7591 |
| Number of pages | 11 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 37 |
| Issue number | 30 |
| DOIs | |
| State | Published - Jul 30 2004 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
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Cite this
Flitney, A. P., Abbott, D., & Johnson, N. F. (2004). Quantum walks with history dependence. Journal of Physics A: Mathematical and General, 37(30), 7581-7591. https://doi.org/10.1088/0305-4470/37/30/013