Test of the physical significance of Bell nonlocality

Fuente: arXiv
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Main Authors: Vieira, Carlos, Ramanathan, Ravishankar, Cabello, Adán
Format: Preprint
Published: 2024
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author Vieira, Carlos
Ramanathan, Ravishankar
Cabello, Adán
author_facet Vieira, Carlos
Ramanathan, Ravishankar
Cabello, Adán
contents Loophole-free violations of Bell inequalities imply that at least one of the assumptions behind local hidden-variable theories must fail. Here, we show that, if only one fails, then it has to fail completely, therefore excluding models that partially constrain freedom of choice or allow for partial retrocausal influences, or allow partial instantaneous actions at a distance. Specifically, we show that (i) any hidden-variable theory with outcome independence (OI) and arbitrary joint relaxation of measurement independence (MI) and parameter independence (PI) can be experimentally excluded in a Bell-like experiment with many settings on high-dimensional entangled states, and (ii) any hidden-variable theory with MI, PI and arbitrary relaxation of OI can be excluded in a Bell-like experiment with many settings on qubit-qubit entangled states.
format Preprint
id arxiv_https___arxiv_org_abs_2402_00801
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Test of the physical significance of Bell nonlocality
Vieira, Carlos
Ramanathan, Ravishankar
Cabello, Adán
Quantum Physics
Loophole-free violations of Bell inequalities imply that at least one of the assumptions behind local hidden-variable theories must fail. Here, we show that, if only one fails, then it has to fail completely, therefore excluding models that partially constrain freedom of choice or allow for partial retrocausal influences, or allow partial instantaneous actions at a distance. Specifically, we show that (i) any hidden-variable theory with outcome independence (OI) and arbitrary joint relaxation of measurement independence (MI) and parameter independence (PI) can be experimentally excluded in a Bell-like experiment with many settings on high-dimensional entangled states, and (ii) any hidden-variable theory with MI, PI and arbitrary relaxation of OI can be excluded in a Bell-like experiment with many settings on qubit-qubit entangled states.
title Test of the physical significance of Bell nonlocality
topic Quantum Physics
url https://arxiv.org/abs/2402.00801