Arrow’s theorem, perhaps better known to political scientists than to physicists, proves that no electoral system in which voters simply rank candidates can rank them for the population as a whole while simultaneously satisfying three “fairness criteria”: if every voter prefers option A over option B, the population prefers A over B; if every voter’s preference between A and B is unchanged then the population’s preference remains unchanged; and there is no one voter (no dictator) who can always determine the population’s preference. This assumes classical voting, but Ning Bao and Nicole Yunger Halpern of Caltech have now shown that if entanglement, superposition and interference are used, a quantum version of such voting becomes possible. This quantum version of majority rule is shown to violate the quantum Arrow conjecture, elucidating how quantum phenomena can be harnessed for strategic advantage.