Explaining quantum correlations through evolution of causal models
Quantum Physics
2017-05-02 v2
Abstract
We propose a framework for the systematic and quantitative generalization of Bell's theorem using causal networks. We first consider the multi-objective optimization problem of matching observed data while minimizing the causal effect of nonlocal variables and prove an inequality for the optimal region that both strengthens and generalizes Bell's theorem. To solve the optimization problem (rather than simply bound it), we develop a novel genetic algorithm treating as individuals causal networks. By applying our algorithm to a photonic Bell experiment, we demonstrate the trade-off between the quantitative relaxation of one or more local causality assumptions and the ability of data to match quantum correlations.
Cite
@article{arxiv.1608.03281,
title = {Explaining quantum correlations through evolution of causal models},
author = {Robin Harper and Robert J. Chapman and Christopher Ferrie and Christopher Granade and Richard Kueng and Daniel Naoumenko and Steven T. Flammia and Alberto Peruzzo},
journal= {arXiv preprint arXiv:1608.03281},
year = {2017}
}
Comments
16 pages, 10 figures