Parrondo's paradox in quantum walks with inhomogeneous coins

TL;DR

This paper demonstrates Parrondo's paradox in discrete-time quantum walks using inhomogeneous coins, showing that two losing strategies can combine to produce a winning outcome without extra dimensions or decoherence.

Contribution

It reveals the existence of Parrondo's paradox in quantum walks with space and time-dependent coins, avoiding the need for higher-dimensional coins or decoherence.

Findings

Parrondo's paradox occurs in quantum walks with inhomogeneous coins.

The phenomenon is demonstrated without higher-dimensional coins or decoherence.

Results suggest potential for practical quantum transport applications.

Abstract

Parrondo's paradox, a counterintuitive phenomenon where two losing strategies combine to produce a winning outcome, has been a subject of interest across various scientific fields, including quantum mechanics. In this study, we investigate the manifestation of Parrondo's paradox in discrete-time quantum walks. We demonstrate the existence of Parrondo's paradox using space and time-dependent coins without the need for a higher-dimensional coin or adding decoherence to the system. Our results enhance the feasibility of practical implementations and provide deeper insights into the underlying quantum dynamics, specifically the propagation constrained by the interference pattern of quantum walks. The implications of our results suggest the potential for more accessible and efficient designs in quantum transport, broadening the scope and application of Parrondo's paradox beyond conventional frameworks.