How to avoid (apparent) signaling in Bell tests

Picture of by Rodion Krotov
by Rodion Krotov

Massimiliano Smania1, Matthias Kleinmann2, Adán Cabello3,4, and Mohamed Bourennane1

1Department of Physics, Stockholm University, S-10691 Stockholm, Sweden
2Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, D-57068 Siegen, Germany
3Departamento de Física Aplicada II, Universidad de Sevilla, E-41012 Sevilla, Spain
4Instituto Carlos I de Física Teórica y Computacional, Universidad de Sevilla, E-41012 Sevilla, Spain

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Abstract

Bell tests have become a powerful tool for quantifying security, randomness, entanglement, and many other properties, as well as for investigating fundamental physical limits. In all these cases, the specific experimental value of the Bell parameter is important as it leads to a quantitative conclusion. However, experimental implementations can also produce experimental data with (apparent) signaling. This signaling can be attributed to systematic errors occurring due to weaknesses in the experimental designs. Here we point out the importance, for quantitative applications, to identify and address this problem. We present a set of experiments with polarization-entangled photons in which we identify common sources of systematic errors and demonstrate approaches to avoid them. In addition, we establish the highest experimental value for the Bell-CHSH parameter obtained after applying strategies to minimize signaling that we are aware of: $S = 2.812 pm 0.003$ and negligible systematic errors. The experiments did not randomize the settings and did not close the locality loophole.

Bell tests are a powerful tool in foundations of physics and quantum information. Unfortunately, in many cases, experiments produce data with (apparent) signaling. In this paper, we present a set of experiments with polarization-entangled photons in which we identify common sources of systematic errors that cause signaling, and demonstrate approaches to avoid them.

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