apozas / fullnn

Code repository for Phys. Rev. Lett. 128, 010403 (2022) [arXiv:2105.09325]

Computational appendix of Full network nonlocality

Alejandro Pozas-Kerstjens, Nicolas Gisin and Armin Tavakoli

This is a repository containing the computational appendix of the article "Full network nonlocality. Alejandro Pozas-Kerstjens, Nicolas Gisin, and Armin Tavakoli. Phys. Rev. Lett. 128, 010403 (2022) [arXiv:2105.09325]." It provides a detailed explanation of how to write the linear programming problems associated to hybrid classical-nonsignaling inflations, and the necessary codes for obtaining the full network Bell inequalities depicted in the manuscript.

All code is written in Python.

Libraries required:

• mosek for solving the linear programming problems
• numpy for numerical manipulations
• picos <= 2.2 for setting up the linear programming problems
• qutip for quantum mechanical operations
• sympy for symbolic manipulations

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

A. Pozas-Kerstjens, N. Gisin, and A. Tavakoli, Full network nonlocality, Phys. Rev. Lett. 128, 010403 (2022)

@article{fullnn,
  title = {Full Network Nonlocality},
  author = {Pozas-Kerstjens, Alejandro and Gisin, Nicolas and Tavakoli, Armin},
  journal = {Phys. Rev. Lett.},
  volume = {128},
  issue = {1},
  pages = {010403},
  numpages = {6},
  year = {2022},
  month = {Jan},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevLett.128.010403},
  url = {https://link.aps.org/doi/10.1103/PhysRevLett.128.010403}
}

fullnn's Issues

About: 'before define the value of a variable, try to change the shape of the variable'

Brief description of bug

Self-Diagnosis

• I have reviewed the documentation.
• I have reviewed the Wiki.
• I have tried to use the latest version of Picos, Numpy and other required interface.
• I have searched the issues for an answer to my question.
• I have searched the web for an answer to my question.

Environment(for bug reports)

• Operating System:MacOs(12.0.1)
• IDE version:VS code 1.65.1 (Universal)
• Python version:Python 3.9.7

My configuration/Related code

import numpy as np
import picos as pic

probabilities = pic.RealVariable('pinf',
                                   shape=3456,
                                   lower=0)
pinf = np.reshape(probabilities, (2,4,4,2,2,3,3,3))

Steps to Reproduce the Issue

1. The issue arise in Deriving (again) Equation 6, function:set_problem_C_NS() and a similar section that follows.

2. By picos.RealVariable() introduce a variable (probabilities) which value is None.

3. With numpy.reshape() on the variable, and report a Bug: picos.valuable.NotValued: Mutable pinf is not valued.

Current Result

1. picos.valuable.NotValued: Mutable pinf is not valued.
2. And you cannot reshape a variable which value is None.

Expected Result

Please check if you forgot to define the value of the probabilities, or if I got it wrong, please let me know.