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Experimental quantum voting using photonic GHZ states

Francis Marcellino, Mingsong Wu, Rob Thew

Abstract

Quantum communication protocols seek to leverage the unique properties of quantum systems for coordination or communication tasks, usually with guarantees of security or anonymity that exceed what is possible classically. One promising domain of application is elections, where strong such guarantees are essential to ensure legitimacy. We experimentally implement a recently proposed election protocol from Centrone et al. such that no one, including a potential central authority, can know the preferred candidate of any voter other than themself. We conduct a four-party election, generating and distributing four-partite GHZ states with $\approx 89\%$ fidelity and successfully recording voters' intentions $\approx 87\%$ of the time.

Experimental quantum voting using photonic GHZ states

Abstract

Quantum communication protocols seek to leverage the unique properties of quantum systems for coordination or communication tasks, usually with guarantees of security or anonymity that exceed what is possible classically. One promising domain of application is elections, where strong such guarantees are essential to ensure legitimacy. We experimentally implement a recently proposed election protocol from Centrone et al. such that no one, including a potential central authority, can know the preferred candidate of any voter other than themself. We conduct a four-party election, generating and distributing four-partite GHZ states with fidelity and successfully recording voters' intentions of the time.

Paper Structure

This paper contains 1 section, 4 equations, 3 figures.

Table of Contents

  1. Proof of anonymity for modified protocol

Figures (3)

  • Figure 1: Schematic representation of state generation scheme. The quantum state after fourfold postselection is indicated on the right. QWP, quarter waveplate.
  • Figure 2: Real part of the reconstructed four-qubit density matrix obtained from a quantum tomography measurement. Fidelity to the target state $F \approx .89$. All imaginary components have magnitude $\leq .02$.
  • Figure 3: Experimental setup (see text for details). PBS, polarizing beam splitter; BS, beam splitter; fPBS, fiber polarizing beam splitter; QWP, quarter waveplate, HWP, half waveplate; PPKTP, periodically-poled potassium titanyl phosphate.