English

Parrondo games as lattice gas automata

Quantum Physics 2007-05-23 v1 Cellular Automata and Lattice Gases

Abstract

Parrondo games are coin flipping games with the surprising property that alternating plays of two losing games can produce a winning game. We show that this phenomenon can be modelled by probabilistic lattice gas automata. Furthermore, motivated by the recent introduction of quantum coin flipping games, we show that quantum lattice gas automata provide an interesting definition for quantum Parrondo games.

Keywords

Cite

@article{arxiv.quant-ph/0110028,
  title  = {Parrondo games as lattice gas automata},
  author = {David A. Meyer and Heather Blumer},
  journal= {arXiv preprint arXiv:quant-ph/0110028},
  year   = {2007}
}

Comments

12 pages, plain TeX, 10 PostScript figures included with epsf.tex (ignore the under/overfull \vbox error messages); for related work see http://math.ucsd.edu/~dmeyer/research.html