Theory-Independent Context Incompatibility: Quantification and Experimental Demonstration

Dataset and Code for: Theory-Independent Context Incompatibility: Quantification and Experimental Demonstration This repository contains the raw experimental data and analysis scripts associated with the research article "Theory-Independent Context Incompatibility: Quantification and Experimental Demonstration". Abstract of the Study This study introduces the concept of theory-independent context compatibility, a notion trivially satisfied by classical statistical mechanics but conflicted by quantum mechanics. We propose a figure of merit to quantify the degree of violation of this compatibility and experimentally demonstrate, using a quantum optics platform, that quantum systems exhibit pronounced degrees of violation. The experiment involves entangled photon pairs generated via spontaneous parametric down-conversion (SPDC) and sequential measurements on single-photon qubits. Repository Contents This dataset includes the raw photon coincidence counts and the Python code (Jupyter Notebooks) required to reproduce the analysis and figures presented in the manuscript. Raw Data: Text files (.txt) containing direct output from the coincidence electronics (detectors D1, D2, and Coincidences). The filenames indicate the measurement settings (e.g., pump power, integration time, and waveplate angles). Analysis Code: basic_functions.py: Library of auxiliary functions for data loading and mathematical operations. seqmeas_main.ipynb: Main analysis script used to generate the Context Incompatibility curves as a function of the mixture parameter $p$ (corresponding to Figure 3 of the paper). seqmeas_varobs.ipynb: Script used to analyze incompatibility as a function of the measurement observable angle $\theta_A$ (corresponding to Figure 4 of the paper). Experimental Setup The data was obtained using a continuous-wave 355 nm pump laser and type-I BiBO crystals to generate polarization-entangled photon pairs. Non-selective measurements were implemented by coupling polarization to spatial modes using interferometric setups. Funding This work was supported by CAPES (Grants 88887.602269/2021-00, 88887.883977/2023-00), CNPq (Grants 305957/2023-6, 308730/2023-2, 422300/2021-7), FAPEMIG, and the National Institute for Science and Technology of Quantum Information (INCT-IQ, Grant 465469/2014-0).配套数据集与代码：《与理论无关的语境不相容性：量化及实验验证》 本仓库包含与研究论文《与理论无关的语境不相容性：量化及实验验证》配套的原始实验数据与分析脚本。 ## 研究摘要 本研究提出了与理论无关的语境相容性（theory-independent context compatibility）这一概念：经典统计力学可轻松满足该概念，但量子力学与之相悖。我们提出了一种品质因数以量化该相容性被违背的程度，并通过量子光学平台开展实验，证明量子系统会呈现出显著的违背程度。本实验采用自发参量下转换（SPDC）生成偏振纠缠光子对，并对单光子量子比特进行序贯测量。 ## 仓库内容 本数据集包含原始光子符合计数数据，以及复现论文中分析过程与图表所需的Python代码（Jupyter Notebook文件）。 ### 原始数据 文本文件（.txt格式）存储了符合电子学设备的直接输出结果，涵盖探测器D1、D2以及符合计数数据。文件名标注了测量设置参数，例如泵浦功率、积分时长与波片角度。 ### 分析代码 basic_functions.py：用于数据加载与数学运算的辅助函数库。 seqmeas_main.ipynb：主分析脚本，用于生成随混合参数$p$变化的语境不相容性曲线（对应论文中的图3）。 seqmeas_varobs.ipynb：用于分析随测量可观测量角度$ heta_A$变化的不相容性（对应论文中的图4）。 ## 实验装置 本数据通过连续波355 nm泵浦激光器与Ⅰ类BiBO晶体生成偏振纠缠光子对的实验获取。非选择性测量通过干涉装置将偏振态耦合至空间模式来实现。 ## 资助信息 本研究得到以下机构资助：CAPES（项目编号：88887.602269/2021-00、88887.883977/2023-00）、CNPq（项目编号：305957/2023-6、308730/2023-2、422300/2021-7）、FAPEMIG，以及国家量子信息科学与技术研究所（INCT-IQ，项目编号：465469/2014-0）。