发表机构
Yangzhou University（扬州大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过量子场纠缠收割构建量子输入博弈，证明不同场关联区域（如类空、对易子瓣等）会产生不同的颤抖手完美纳什均衡，揭示量子关联可改变稳定策略行为。
AI 中文摘要
纠缠收割将量子场关联转移到局部探测器上，然而这些关联是否能改变稳定的策略行为仍不清楚。我们构建了一个量子输入博弈，其中两个Unruh-DeWitt探测器在(3+1)维闵可夫斯基时空中从自由无质量标量场中收割真空纠缠。裁判使用独立的提问量子比特和相位校准的局部贝尔测量将该状态转换为收益。在微扰论的首阶，平均奖励正比于带符号的纠缠边际 $\sqrt{\mathcal{H}^2+\mathcal{Q}^2}-\mathcal{P}$，其中 $\mathcal{H}$ 是Hadamard关联贡献，$\mathcal{Q}$ 是Pauli-Jordan因果贡献，$\mathcal{P}$ 是局部激发噪声。在收益简并之外，允许每个玩家退出或选择早期或晚期相互作用会产生 $1+2n_+$ 个颤抖手完美均衡，其中 $n_+$ 计算正收益的时序均衡。对于一种固定协议，五个解析验证的设置实现了序列 $7\to3\to1\to7\to1$。它们分别代表类空区域、第一个对易子瓣、中心载波抵消、第二个瓣和波前后的惠更斯区域。因此，在这个固定的量子输入验证协议中，不同的场关联区域产生不同的稳定策略结构。
英文摘要
Entanglement harvesting transfers quantum field correlations to localized probes, yet whether these correlations can alter stable strategic behavior has remained unclear. We formulate a quantum-input game in which two Unruh-DeWitt detectors harvest vacuum entanglement from a free massless scalar field in $(3+1)$-dimensional Minkowski spacetime. A referee converts this state into payoffs using independent question qubits and phase-calibrated local Bell measurements. To leading perturbative order, the mean reward is proportional to the signed entanglement margin $\sqrt{\mathcal{H}^2+\mathcal{Q}^2}-\mathcal{P}$, where $\mathcal{H}$ is the Hadamard correlation contribution, $\mathcal{Q}$ is the Pauli-Jordan causal contribution, and $\mathcal{P}$ is the local excitation noise. Away from payoff degeneracies, allowing each player to exit or to choose an early or late interaction yields $1+2n_+$ trembling-hand perfect equilibria, where $n_+$ counts the positive-reward timing equilibria. For one fixed protocol, five analytically certified settings realize the sequence $7\to3\to1\to7\to1$. They represent the spacelike region, the first commutator lobe, central carrier cancellation, the second lobe, and the post-wavefront Huygens regime. Thus, within this fixed quantum-input verification protocol, distinct field-correlation regimes generate different stable strategic structures.
Comments28 pages
