English

Quantum Parrondo's game with random strategies

Quantum Physics 2011-11-09 v1

Abstract

We present a quantum implementation of Parrondo's game with randomly switched strategies using 1) a quantum walk as a source of ``randomness'' and 2) a completely positive (CP) map as a randomized evolution. The game exhibits the same paradox as in the classical setting where a combination of two losing strategies might result in a winning strategy. We show that the CP-map scheme leads to significantly lower net gain than the quantum walk scheme.

Keywords

Cite

@article{arxiv.0704.2937,
  title  = {Quantum Parrondo's game with random strategies},
  author = {J. Kosik and J. A. Miszczak and V. Buzek},
  journal= {arXiv preprint arXiv:0704.2937},
  year   = {2011}
}
R2 v1 2026-06-21T08:21:04.162Z