横向场伊辛哈密顿量动力学中策略均衡的涌现
Emergence of Strategic Equilibria from Transverse Field Ising Hamiltonian Dynamics
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中文总结 AI 辅助
该研究基于横向场伊辛哈密顿量动力学，提出算子形式的量子博弈研究方法，通过可调纠缠算子解决博弈困境，获得优于经典结果的量子优势，为量子博弈设计提供硬件相关视角。
中文摘要 AI 辅助
博弈论研究理性主体间的策略决策，许多经典博弈可映射到伊辛模型等相互作用模型；量子博弈论则通过允许玩家利用量子叠加与纠缠扩展该框架。本研究采用源自横向场量子伊辛模型的基于算子的公式研究量子博弈，表明哈密顿量驱动的动力学自然生成纠缠算子以解决博弈设置中的困境，相比经典结果展现出显著量子优势。与基于固定纠缠门的标准量子化方案不同，该方法能实现可调纠缠，由物理哈密顿量参数直接控制，为量子博弈设计提供了与硬件相关的视角。
英文摘要
Game theory studies strategic decision-making among rational agents, and many classical games can be mapped onto interaction models such as the Ising model. Quantum game theory extends this framework by allowing players to exploit quantum superposition and entanglement. In this work, we study quantum games using an operator-based formulation derived from the transverse-field quantum Ising model. We show that the Hamiltonian-driven dynamics naturally generate entangling operator which resolve the dilemma in the game settings. This leads to a clear quantum advantage over classical outcomes. Unlike standard quantization schemes based on fixed entangling gates, the present approach enables tunable entanglement, controlled directly by physical Hamiltonian parameters, providing a hardware-relevant perspective on quantum game design.
发表机构
- Vellore Institute of Technology（维洛尔理工学院）
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