Universität zu Köln

Harper, Robin ORCID: 0000-0003-4949-8754, Chapman, Robert J., Ferrie, Christopher ORCID: 0000-0003-2736-9943, Granade, Christopher, Kueng, Richard, Naoumenko, Daniel, Flammia, Steven T. and Peruzzo, Alberto ORCID: 0000-0002-7953-3875 (2017). Explaining quantum correlations through evolution of causal models. Phys. Rev. A, 95 (4). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9934

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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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Harper, Robin UNSPECIFIED orcid.org/0000-0003-4949-8754 UNSPECIFIED Chapman, Robert J. UNSPECIFIED UNSPECIFIED UNSPECIFIED Ferrie, Christopher UNSPECIFIED orcid.org/0000-0003-2736-9943 UNSPECIFIED Granade, Christopher UNSPECIFIED UNSPECIFIED UNSPECIFIED Kueng, Richard UNSPECIFIED UNSPECIFIED UNSPECIFIED Naoumenko, Daniel UNSPECIFIED UNSPECIFIED UNSPECIFIED Flammia, Steven T. UNSPECIFIED UNSPECIFIED UNSPECIFIED Peruzzo, Alberto UNSPECIFIED orcid.org/0000-0002-7953-3875 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-233848
DOI:	10.1103/PhysRevA.95.042120
Journal or Publication Title:	Phys. Rev. A
Volume:	95
Number:	4
Date:	2017
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9934
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language BELL-INEQUALITY; ALGORITHMS Multiple languages Optics; Physics, Atomic, Molecular & Chemical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/23384