Explaining quantum correlations through evolution of causal models

Harper, R, Chapman, R, Ferrie, C, Granade, C, Kueng, R, Naoumenko, D, Flammia, S and Peruzzo, A 2017, 'Explaining quantum correlations through evolution of causal models', Physical Review A, vol. 95, 042120, pp. 1-16.


Document type: Journal Article
Collection: Journal Articles

Title Explaining quantum correlations through evolution of causal models
Author(s) Harper, R
Chapman, R
Ferrie, C
Granade, C
Kueng, R
Naoumenko, D
Flammia, S
Peruzzo, A
Year 2017
Journal name Physical Review A
Volume number 95
Article Number 042120
Start page 1
End page 16
Total pages 16
Publisher American Physical Society
Abstract We propose a framework for the systematic and quantitative generalization of Bell's theorem using causal networks. We first consider the multiobjective 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 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.
Subject Quantum Information, Computation and Communication
Photonics and Electro-Optical Engineering (excl. Communications)
DOI - identifier 10.1103/PhysRevA.95.042120
Copyright notice © 2017 American Physical Society
ISSN 2469-9934
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