AI 中文总结
研究有限量子逻辑结构在不同测试下的经典性特征，区分关联、单纯形和算子函数测试，通过集体GHZ联合测量等示例说明，还计算选定片段的状态去极化阈值，表明其是片段和噪声模型属性。
AI 中文摘要
有限量子逻辑结构根据保留的结构不同，可能呈现经典或非经典的特征。我们区分了基于赋值、着色和划分表示的关联测试；针对特定制备和测量片段的单纯形嵌入测试；以及施加谱规则和乘积规则的算子函数测试。我们表明，集体GHZ联合测量是单个布尔上下文，只有在需要局部因子的共同赋值以及乘积保持时才会变为非经典。对于选定的标记射线片段，我们计算了受限投影锥分解和特定向量生成的操作闭包的状态去极化阈值，将精确的原对偶证书与数值估计分开。这些值是所述片段和噪声模型的属性，而非基础超图的不变量或上下文相关性的通用排序。
英文摘要
Finite quantum-logical constructions can appear classical or nonclassical depending on which structure is retained. We distinguish incidence tests based on valuations, colorings, and partition representations; simplex-embedding tests for specified prepare-and-measure fragments; and operator-functional tests imposing spectral and product rules. We show that the collective GHZ joint measurement is a single Boolean context and becomes nonclassical only when a common assignment of local factors, together with product preservation, is required. For selected labelled ray fragments, we compute state-depolarizing thresholds for a restricted projector-cone factorization and for a specified vector-generated operational closure, separating exact primal--dual certificates from numerical estimates. These values are properties of the stated fragments and noise model, not invariants of the underlying hypergraphs or a universal ordering of contextuality.
Comments22 pages, 3 tables
