General model for a entanglement-enhanced composed quantum game on a two-dimensional lattice

TL;DR

This paper presents a method to analyze entanglement-enhanced quantum games on 2D lattices, demonstrating that entanglement is essential for agents to gain positive outcomes in prisoner's dilemma and Parrondo's games.

Contribution

The paper introduces a general analytical framework for entanglement-enhanced quantum games on lattices, applicable to various boundary conditions, and demonstrates its effectiveness with specific game examples.

Findings

Entanglement is crucial for positive capital gain in quantum games.

The method works for both periodic and non-periodic boundary conditions.

Entanglement enhances cooperative behavior in quantum game scenarios.

Abstract

We introduce a method of analyzing entanglement enhanced quantum games on regular lattices of agents. Our method is valid for setups with periodic and non-periodic boundary conditions. To demonstrate our approach we study two different types games, namely the prisoner's dilemma game and a cooperative Parrondo's game. In both cases we obtain results showing, that entanglement is a crucial resource necessary for the agents to achieve positive capital gain.