Computational appendix of Certification of non-classicality in all links of a photonic star network without assuming quantum mechanics

Ning-Ning Wang, Alejandro Pozas-Kerstjens, Chao Zhang, Bi-Heng Liu, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo, Nicolas Gisin, and Armin Tavakoli

This is a repository containing the computational appendix of the article "Certification of non-classicality in all links of a photonic star network without assuming quantum mechanics. Ning-Ning Wang, Alejandro Pozas-Kerstjens, Chao Zhang, Bi-Heng Liu, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo, Nicolas Gisin, and Armin Tavakoli. Nat. Commun. 14, 2153 (2023) [arXiv:2212.09765]." It provides a detailed explanation of how to write the linear programming problems associated to hybrid classical-nonsignaling-nonsignaling inflations of the three-star network, and the necessary codes for obtaining the witnesses of full network nonlocality depicted in the manuscript.

All code is written in Python.

Libraries required:

• mosek >= 9.1.13 && <= 9.2.28 for solving the linear programming problems. Other versions produce much more complicated inequalities
• numpy for numerical manipulations
• picos >= 2.0 && <= 2.2 for setting up the linear programming problems. Other versions produce much more complicated inequalities
• qutip for quantum mechanical operations
• sympy for symbolic manipulations

If you would like to cite this work, please use the following format: N.-N. Wang, A. Pozas-Kerstjens, C. Zhang, B.-H. Liu, Y.-F. Huang, C.-F. Li, G.-C. Guo, N. Gisin, and A. Tavakoli, Certification of non-classicality in all links of a photonic star network without assuming quantum mechanics, Nat. Commun. 14, 2153 (2023)

@article{threestarfnn,
  title = {Certification of non-classicality in all links of a photonic star network without assuming quantum mechanics},
  author = {Wang, Ning-Ning and Pozas-Kerstjens, Alejandro and Zhang, Chao and Liu, Bi-Heng and Huang, Yun-Feng and Li, Chuan-Feng and Guo, Guang-Can  and Gisin, Nicolas and Tavakoli, Armin},
  journal = {Nat. Commun.},
  volume = {14},
  pages = {2153},
  doi = {10.1038/s41467-023-37842-w},
  year = {2023},
  url = {https://www.nature.com/articles/s41467-023-37842-w},
  eprint = {2212.09765},
  archivePrefix={arXiv}
}