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Trapped Ion Quantum Computing Quantum Simulation

Mapping Game Theory to Quantum Systems: Nash Equilibria via Neutral Atom Computing

arXiv
Authors: Giovanni Ferrannini, Dario di Gregorio, Federico Fissore

Year

2025

Paper ID

17229

Status

Preprint

Abstract Read

~2 min

Abstract Words

92

Citations

N/A

Abstract

Nash equilibria are crucial for understanding game behavior and systems in economics, physics, biology, and computer science. A significant application arises from the connection between Nash equilibria and optimization problems . However, finding Nash equilibria is challenging due to its NP-Hard complexity, specifically within the PPAD class. By exploiting the correspondence between Maximum Independent Sets (MIS) and Nash equilibria on unit-disk graphs, we map these problems onto the ground state configurations of Rydberg atom arrays. Simulations show the effectiveness of this quantum method, highlighting its potential for solving complex problems in game theory.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2025 reference point for readers tracking recent quantum research.
  • Nash equilibria are crucial for understanding game behavior and systems in economics, physics, biology, and computer science.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2511.09841 [2] arXiv https://arxiv.org/abs/2511.09841 [3] Publisher https://arxiv.org/abs/2511.09841

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