Related Experiment Video
Updated: Oct 22, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Schrödinger's Ballot: Quantum Information and the Violation of Arrow's Impossibility Theorem
Xin Sun1, Feifei He2, Mirek Sopek3
1Department of Foundation of Computer Science, Catholic University of Lublin, 20-950 Lublin, Poland.
Abstract:
We study Arrow's Impossibility Theorem in the quantum setting. Our work is based on the work of Bao and Halpern, in which it is proved that the quantum analogue of Arrow's Impossibility Theorem is not valid. However, we feel unsatisfied about the proof presented in Bao and Halpern's work. Moreover, the definition of Quantum Independence of Irrelevant Alternatives (QIIA) in Bao and Halpern's work seems not appropriate to us. We give a better definition of QIIA, which properly captures the idea of the independence of irrelevant alternatives, and a detailed proof of the violation of Arrow's Impossibility Theorem in the quantum setting with the modified definition.
Related Concept Videos
The Quantum-Mechanical Model of an Atom
The Uncertainty Principle
The de Broglie Wavelength
The Pauli Exclusion Principle
Electron Orbital Model
The first shell is closest to the nucleus, and it has only one subshell with a single spherical orbital called the...
Quantum Numbers

