发表机构
Jan Kochanowski University（扬·科哈诺夫斯基大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过引入流行率和投影接受度量化后量子关联搜索性能，发现同步与仅交换对称性下金字塔表示判别力差异显著，为搜索评估提供框架。
AI 中文摘要
后量子关联的搜索依赖于两个不同的要素：此类关联在底层关联空间中的丰富程度，以及所选表示在多大程度上保留其与量子关联的可区分性。我们通过引入流行率和投影接受度来量化这些效应，两者的乘积定义了搜索性能。我们在具有对称相关位点的二元输出贝尔场景中，使用CHSH和金字塔表示来说明这些概念。特别关注交换对称同步关联与仅满足交换对称性的关联之间的区别。在同步量子扇区中，公共向量表示由同步性自动得出，而仅交换对称性则定义了一个大得多的关联空间。我们表明，这种区别可以定性改变投影搜索的有效性：金字塔表示在同步扇区中保留了相当大的判别能力，但在仅施加交换对称性时没有判别能力。我们的结果为评估和比较后量子关联的搜索提供了一个简单的框架。
英文摘要
Searches for post-quantum correlations depend on two distinct ingredients: how abundant such correlations are in the underlying correlation space and how efficiently the chosen representation preserves their distinguishability from quantum correlations. We quantify these effects by introducing the popularity rate and the projection acceptance, whose product defines the search performance. We illustrate these concepts in binary-outcome Bell scenarios with symmetry-related sites, using the CHSH and pyramid representations. Particular attention is paid to the distinction between exchange-symmetric synchronous correlations and correlations satisfying only exchange symmetry. In the synchronous quantum sector, the common-vector representation follows automatically from synchrony, whereas exchange symmetry alone defines a substantially larger correlation space. We show that this distinction can qualitatively change the effectiveness of a projected search: the pyramid representation, which retains substantial discriminatory power in the synchronous sector, has no discriminatory power when only exchange symmetry is imposed. Our results provide a simple framework for assessing and comparing searches for post-quantum correlations.
Comments20 pages and 3 figures
