Quantum voting and its physical interpretation

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.