Playing a true Parrondo's game with a three state coin on a quantum walk

TL;DR

This paper demonstrates that a true quantum Parrondo's game can be realized using a three-state coin (qutrit) in a 1D quantum walk, overcoming limitations faced with two-state coins (qubits).

Contribution

The paper introduces a novel implementation of a true quantum Parrondo's game using a qutrit in a 1D quantum walk, which was not possible with qubits.

Findings

True quantum Parrondo's game achieved with a qutrit

Fails with qubit in asymptotic limits

Highlights importance of coin dimensionality in quantum games

Abstract

Playing a Parrondo's game with a qutrit is the subject of this paper. We show that a true quantum Parrondo's game can be played with a 3 state coin(qutrit) in a 1D quantum walk in contrast to the fact that playing a true Parrondo's game with a 2 state coin(qubit) in 1D quantum walk fails in the asymptotic limits.