经典网络中测量统计的动力读出与涌现的类纠缠态
Dynamical Readout of Measurement Statistics and Emergent Entanglement-Like States in Classical Networks
浏览论文内容
中文总结 AI 辅助
本文提出一种经典网络的原生读出方案，通过十种连接性扰动测量主导增长率的偏移，实现对有效两量子位态测量统计的完整动力读出，并验证了贝尔态违反CHSH不等式。
中文摘要 AI 辅助
一个经典网络能否不仅编码类量子态，还能通过其自身的集体动力学读出其测量统计？在此，我们引入一种面向结构化经典网络的网络原生读出方案，该网络的社区模式构成一个有效的两量子位态空间。网络连接性选择出一个占主导地位的集体模式来编码状态，而一组固定的十种基本连接性扰动则探测其集体响应。主导增长率由此产生的偏移构成了实两量子位扇区期望值的完整基，通过线性组合可重建与任意实投影子相关联的联合结果概率。一旦测量到这十种谱响应，相同的数据便能生成连续测量设置族上的相关性。作为基准，对于编码的贝尔态，四个选定的相关性给出|S|=chsh>2，而可分离乘积态参考则保持在Clauser-Horne-Shimony-Holt（CHSH）界限|S|≤2之内。这些结果确立了直接从经典网络的谱响应中对有效两量子位态进行信息完备的动力读出。
英文摘要
Can a classical network not only encode a quantum-like state, but also read out its measurement statistics through its own collective dynamics? Here we introduce a network-native readout scheme for a structured classical network whose community modes form an effective two-qubit state space. Network connectivity selects a dominant collective mode that encodes the state, while a fixed set of ten elementary connectivity perturbations probes its collective response. The resulting shifts of the dominant growth rate form a complete basis of expectation values for the real two-qubit sector, from which joint-outcome probabilities associated with arbitrary real projectors are reconstructed by linear combination. Once these ten spectral responses are measured, the same data generate correlations over a continuous family of measurement settings. As a benchmark, for an encoded Bell state four selected correlations give $|S|=\chsh>2$, whereas a separable product-state reference remains within the Clauser--Horne--Shimony--Holt (CHSH) bound $|S| \leq 2 $. These results establish an informationally complete dynamical readout of effective two-qubit states directly from the spectral response of a classical network.
发表机构
- North Carolina State University（北卡罗来纳州立大学）
- Purdue University（普渡大学）
机构由 AI 辅助整理，请以论文原文为准。
