Quantum voting and its physical interpretation

TL;DR

This paper explores the intersection of quantum information theory and voting, providing new proofs of Arrow's theorem, a physical interpretation, and a thermodynamic perspective on voting processes.

Contribution

It introduces quantum-based proofs of Arrow's impossibility theorem, links voting to quantum circuits, and offers a thermodynamic interpretation using Landauer's principle.

Findings

Arrowian dictator corresponds to perfect cloning circuit

Voting can be modeled with Bell-like inequalities

Thermodynamic perspective on voting processes

Abstract

Voting is a game with a no-go theorem. New proofs of Arrow's impossibility theorem are given based on quantum information theory. We show that the Arrowian dictator is equivalent to the perfect cloning circuit. We present \textit{Gedankenexperiment} of voting and Bell-like inequalities of voting. We provide the thermodynamic interpretation of voting with Landauer's principle.