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apozas committed Apr 22, 2019
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4 changes: 2 additions & 2 deletions Compatibility_with_bipartite_models.ipynb
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"cell_type": "markdown",
"metadata": {},
"source": [
"# Computational appendix of [arXiv:](www.arxiv.org/abs/).\n",
"# Computational appendix of [arXiv:1904.08943](https://arxiv.org/abs/1904.08943).\n",
"---\n",
"In this appendix we describe with explicit formulas the *scalar extension* method presented in [arXiv:](www.arxiv.org/abs/) to impose relaxations of (non-convex) factorization constraints in semidefinite programs, and show how this method can be used to study correlations in complex causal networks.\n",
"In this appendix we describe with explicit formulas the *scalar extension* method presented in [arXiv:1904.08943](https://arxiv.org/abs/1904.08943) to impose relaxations of (non-convex) factorization constraints in semidefinite programs, and show how this method can be used to study correlations in complex causal networks.\n",
"\n",
"authors: Alejandro Pozas-Kerstjens\n",
"\n",
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4 changes: 2 additions & 2 deletions README.md
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[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.2646262.svg)](https://doi.org/10.5281/zenodo.2646262)

## Computational appendix of *[Bounding the sets of classical and quantum correlations in networks](https://www.arxiv.org/abs/1904......)*
## Computational appendix of *[Bounding the sets of classical and quantum correlations in networks](https://arxiv.org/abs/1904.08943)*

This is a repository containing the computational appendix of the article "*Bounding the sets of classical and quantum correlations in networks*. Alejandro Pozas-Kerstjens, Rafael Rabelo, Lukasz Rudnicki, Rafael Chaves, Daniel Cavalcanti, Miguel Navascués, and Antonio Acín. [arXiv:1904......](https://www.arxiv.org/abs/1904......)." It provides tools for performing scalar extension of moment matrices in order to develop SDP hierarchies (in the spirit of the Navascués-Pironio-Acín hierarchy) that bound the set of correlations compatible with quantum causal networks with causally-independent parties.
This is a repository containing the computational appendix of the article "*Bounding the sets of classical and quantum correlations in networks*. Alejandro Pozas-Kerstjens, Rafael Rabelo, Lukasz Rudnicki, Rafael Chaves, Daniel Cavalcanti, Miguel Navascués, and Antonio Acín. [arXiv:1904.08943](https://arxiv.org/abs/1904.08943)." It provides tools for performing scalar extension of moment matrices in order to develop SDP hierarchies (in the spirit of the Navascués-Pironio-Acín hierarchy) that bound the set of correlations compatible with quantum causal networks with causally-independent parties.

All code is written both in Python. It requires [Ncpol2sdpa](https://ncpol2sdpa.readthedocs.io/en/stable/), NumPy, [PICOS](https://picos-api.gitlab.io/picos/) <= 1.1.3.post8, and SciPy.

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