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Quantum voting and violation of Arrow's impossibility theorem

Ning Bao and Nicole Yunger Halpern
Phys. Rev. A 95, 062306 – Published 5 June 2017

Abstract

We propose a quantum voting system in the spirit of quantum games such as the quantum prisoner's dilemma. Our scheme enables a constitution to violate a quantum analog of Arrow's impossibility theorem. Arrow's theorem is a claim proved deductively in economics: Every (classical) constitution endowed with three innocuous-seeming properties is a dictatorship. We construct quantum analogs of constitutions, of the properties, and of Arrow's theorem. A quantum version of majority rule, we show, violates this quantum Arrow conjecture. Our voting system allows for tactical-voting strategies reliant on entanglement, interference, and superpositions. This contribution to quantum game theory helps elucidate how quantum phenomena can be harnessed for strategic advantage.

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  • Received 15 January 2017

DOI:https://doi.org/10.1103/PhysRevA.95.062306

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Quantum Information, Science & Technology

Authors & Affiliations

Ning Bao1,2,* and Nicole Yunger Halpern1,†

  • 1Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125, USA
  • 2Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA

  • *ningbao@its.caltech.edu
  • nicoleyh@caltech.edu

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Issue

Vol. 95, Iss. 6 — June 2017

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