发表机构
Vellore Institute of Technology（维洛尔理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究振幅阻尼退相干下基于横向场伊辛模型的两人量子博弈，发现退相干抑制量子优势，并揭示依赖初始状态和策略的纠缠突然诞生与消亡现象。
AI 中文摘要
量子博弈论研究量子资源对战略决策的影响。本文研究了基于横向场伊辛模型（TFIM）的两人量子博弈在振幅阻尼退相干下的行为。TFIM哈密顿量自然产生一族纠缠门，使得量子博弈的物理实现成为可能。分析了噪声对不同初始状态和策略组合下纳什均衡、玩家收益、并发度和量子态相干性的影响。结果表明，退相干逐渐抑制量子战略优势，最大阻尼使所有结果趋于相同的经典收益。对量子博弈中产生状态的并发度和相干性分析揭示了依赖于初始状态和策略的量子关联动力学，包括纠缠的突然诞生与消亡。
英文摘要
Quantum game theory investigates the influence of quantum resources on strategic decision-making. In this work, two-player quantum games based on the Transverse Field Ising Model(TFIM) are investigated under amplitude-damping decoherence. The TFIM Hamiltonian naturally produces a family of entangling gates, enabling a physically motivated implementation of quantum games. The effects of noise on Nash equilibria, players' payoffs, concurrence and coherence of the quantum states for different initial states and strategy pairs are analyzed. The results show that decoherence progressively suppresses quantum strategic advantages, with maximum damping driving all outcomes to identical classical payoffs. The concurrence and coherence analysis of the states generated in the quantum game reveal initial state and strategy dependent quantum correlation dynamics, including entanglement sudden birth and death.
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