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Bridging Theory and Practice in Quantum Game Theory: Optimized Implementation of the Battle of the Sexes with Error Mitigation on NISQ Hardware

2025/08/12 by Germán Díaz Agreda, Carlos Andres Duran Paredes, Agreda, Germán Díaz +8
Computer Science · Physics and Astronomy · #Bridging (networking) #Game theory #IBM #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum computer #Qubit #Stochastic game

paper · pdf · doi:10.1109/chilecon66915.2025.11476221

openalex created_date 2025/10/10 · openalex publication_date 2025/10/28 · openalex updated_date 2026/08/05

Abstract

Implementing quantum game theory on real hardware is challenging due to noise, decoherence, and limited qubit connectivity, yet such demonstrations are essential to validate theoretical predictions. We present one of the first full experimental realizations of the “Battle of the Sexes” game under the Eisert-Wilkens-Lewenstein (EWL) framework on IBM Quantum's ibmsherbrooke superconducting processor. Four quantum strategies (I, H,R(π / 4), R(π)) were evaluated across 31 entanglement valuesγ ∈[0, π]using 2048 shots per configuration, enabling a direct comparison between analytical predictions and hardware execution. To mitigate noise and variability, we introduce a Guided Circuit Mapping (GCM) method that dynamically selects qubit pairs and optimizes routing based on real-time topology and calibration data. The analytical model forecasts up to 108 % payoff improvement over the classical equilibrium, and despite hardware-induced deviations, experimental results with GCM preserve the expected payoff trends within3.5 %-12 %relative error. These findings show that quantum advan-tages in strategic coordination can persist under realistic NISQ conditions, providing a pathway toward practical applications of quantum game theory in multi-agent, economic, and distributed decisionmaking systems.

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