An Alternative Quantization Protocol for the History Dependent Parrondo Game

TL;DR

This paper introduces a new quantization protocol for the history dependent Parrondo game, offering an alternative to the existing FNA protocol and potentially expanding the understanding of quantum game strategies.

Contribution

The paper presents a novel quantization protocol for the HD Parrondo game, differing from the FNA protocol in multiple aspects, enhancing the framework for quantum game analysis.

Findings

Proposes an alternative quantization method for the HD Parrondo game.

Highlights differences between the new protocol and the FNA protocol.

Provides insights into quantum strategies for history-dependent games.

Abstract

Earlier work on the quantization of the history dependent (HD) Parrondo game by Flitney, Ng, and Abbott led to the FNA protocol. We propose an alternative quantization protocol for this game which differs from the FNA protocol in various aspects.