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Bell nonlocality in networks
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 …
propelled research in the foundations of quantum theory and quantum information science …
Semidefinite programming relaxations for quantum correlations
Semidefinite programs are convex optimization problems involving a linear objective
function and a domain of positive-semidefinite matrices. Over the past two decades, they …
function and a domain of positive-semidefinite matrices. Over the past two decades, they …
Full network nonlocality
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 concept of full network nonlocality, which describes correlations that necessitate all links …
The inflation technique for causal inference with latent variables
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 …
observed variables is compatible with some causal structure. The difficult case is when the …
Genuine network multipartite entanglement
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 …
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
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 …
beyond Bell's theorem. We investigate here the simplest network, known as the bilocality …
Network quantum steering
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 …
technological applications as well as shed light on foundational topics, such as quantum …
No bipartite-nonlocal causal theory can explain nature's correlations
We show that some tripartite quantum correlations are inexplicable by any causal theory
involving bipartite nonclassical common causes and unlimited shared randomness. This …
involving bipartite nonclassical common causes and unlimited shared randomness. This …
Experimental nonclassicality in a causal network without assuming freedom of choice
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 …
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
Networks composed of independent sources of entangled particles that connect distant
users are a rapidly develo** quantum technology and an increasingly promising test-bed …
users are a rapidly develo** quantum technology and an increasingly promising test-bed …