Bell nonlocality in networks

A Tavakoli, A Pozas-Kerstjens, MX Luo… - Reports on Progress in …, 2022 - iopscience.iop.org
Bell's theorem proves that quantum theory is inconsistent with local physical models. It has
propelled research in the foundations of quantum theory and quantum information science …

Semidefinite programming relaxations for quantum correlations

A Tavakoli, A Pozas-Kerstjens, P Brown… - Reviews of Modern Physics, 2024 - APS
Semidefinite programs are convex optimization problems involving a linear objective
function and a domain of positive-semidefinite matrices. Over the past two decades, they …

Full network nonlocality

A Pozas-Kerstjens, N Gisin, A Tavakoli - Physical review letters, 2022 - APS
Networks have advanced the study of nonlocality beyond Bell's theorem. Here, we introduce
the concept of full network nonlocality, which describes correlations that necessitate all links …

The inflation technique for causal inference with latent variables

E Wolfe, RW Spekkens, T Fritz - Journal of Causal Inference, 2019 - degruyter.com
The problem of causal inference is to determine if a given probability distribution on
observed variables is compatible with some causal structure. The difficult case is when the …

Genuine network multipartite entanglement

M Navascués, E Wolfe, D Rosset, A Pozas-Kerstjens - Physical Review Letters, 2020 - APS
The standard definition of genuine multipartite entanglement stems from the need to assess
the quantum control over an ever-growing number of quantum systems. We argue that this …

Bilocal Bell inequalities violated by the quantum elegant joint measurement

A Tavakoli, N Gisin, C Branciard - Physical review letters, 2021 - APS
Network Bell experiments give rise to a form of quantum nonlocality that conceptually goes
beyond Bell's theorem. We investigate here the simplest network, known as the bilocality …

Network quantum steering

BDM Jones, I Šupić, R Uola, N Brunner… - Physical Review Letters, 2021 - APS
The development of large-scale quantum networks promises to bring a multitude of
technological applications as well as shed light on foundational topics, such as quantum …

No bipartite-nonlocal causal theory can explain nature's correlations

X Coiteux-Roy, E Wolfe, MO Renou - Physical review letters, 2021 - APS
We show that some tripartite quantum correlations are inexplicable by any causal theory
involving bipartite nonclassical common causes and unlimited shared randomness. This …

Experimental nonclassicality in a causal network without assuming freedom of choice

E Polino, D Poderini, G Rodari, I Agresti… - Nature …, 2023 - nature.com
In a Bell experiment, it is natural to seek a causal account of correlations wherein only a
common cause acts on the outcomes. For this causal structure, Bell inequality violations can …

Certification of non-classicality in all links of a photonic star network without assuming quantum mechanics

NN Wang, A Pozas-Kerstjens, C Zhang, BH Liu… - Nature …, 2023 - nature.com
Networks composed of independent sources of entangled particles that connect distant
users are a rapidly develo** quantum technology and an increasingly promising test-bed …