The correlation signals generated by pairs of entangled qubits in CHSH scenarios are studied using the multi-resolution analysis (MRA). When a classical version of the MRA is applied, the correlation functions of the partially synthesized signals do not violate the CHSH inequality until the signals have been fully reconstructed. Later, we apply a variant of the MRA, inserting the detail signals in inverse order. Surprisingly, what we obtain is that the partially synthesized signals violate the CHSH inequality after the second insertion, thus revealing a nonlocal component even long before the synthesis is complete. This results in signals that are up to \(25\%\) shorter than the original ones but conserving their entangled and nonlocal character.

使用多分辨率分析 (MRA) 研究 CHSH 场景中由纠缠量子位对生成的相关信号。当应用 MRA 的经典版本时，部分合成信号的相关函数在信号完全重建之前不会违反 CHSH 不等式。稍后，我们应用 MRA 的变体，以相反的顺序插入细节信号。令人惊讶的是，我们得到的是，部分合成的信号在第二次插入后违反了 CHSH 不等式，因此甚至在合成完成之前很久就揭示了非局部分量。这导致信号比原始信号短\(25\%\)，但保留了它们的纠缠和非局部特征。