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).