Code to accompany Post-quantum nonlocality in the minimal triangle scenario

Alejandro Pozas-Kerstjens, Antoine Girardin, Tamás Kriváchy, Armin Tavakoli, and Nicolas Gisin

This is a repository containing the computational appendix of the article "Post-quantum nonlocality in the minimal triangle scenario. Alejandro Pozas-Kerstjens, Antoine Girardin, Tamás Kriváchy, Armin Tavakoli, and Nicolas Gisin arXiv:2305.03745." It provides the codes for obtaining the results depicted in Figures 3 and 4 in the manuscript.

The code is written in Python and MATLAB.

Python libraries required:

• matplotlib for plots
• numpy for math operations
• inflation (and its requirements) for setting up and solving the inflation problems

MATLAB libraries required:

• textprogressbar for progress bars (can be easily removed from the code)

Files:

• LP/bisection.m: Bisection code for obtaining the values corresponding to classical inflations in Figure 4.

• LP/compute_compatibility.m: Code for assessing whether a distribution given by , and admits a triangle-local or triangle-NSI model. This code is used for creating the data for Figure 3.

• LP/XXXinflationYYY: Implementations of different inflations of the triangle scenario. Currently: HexagonInflation, WebInflation222, WebInflation322, WebInflation332.

• SDP/bisection.py: Bisection code for obtaining the values corresponding to quantum inflations and large classical inflations in Figure 4.

• boundary_E1E2E3.txt: Distributions, characterized by , and , that lie in the boundary between distributions identified as triangle-nonlocal via inflation and those not identified.

• plots.ipynb: Code to generate the plots and additional visualizations.

• points_E1E2E3.txt: Distributions, characterized by , and , used for producing the figures in the manuscript.

• results: Folder where the results of the calculations are stored.

If you would like to cite this work, please use the following format:

A. Pozas-Kerstjens, A. Girardin, T. Kriváchy, A. Tavakoli, and N. Gisin, Post-quantum nonlocality in the minimal triangle scenario, arXiv:2305.03745

@misc{pozaskerstjens2023minimaltriangle,
  title = {Post-quantum nonlocality in the minimal triangle scenario},
  author = {Pozas-Kerstjens, Alejandro and Girardin, Antoine and Kriváchy, Tamás and Tavakoli, Armin and Gisin, Nicolas},
  archivePrefix = {arXiv},
  eprint = {2305.03745},
  year = {2023}
}