Bell nonlocality

N Brunner, D Cavalcanti, S Pironio, V Scarani… - Reviews of modern …, 2014 - APS
Bell's 1964 theorem, which states that the predictions of quantum theory cannot be
accounted for by any local theory, represents one of the most profound developments in the …

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 …

Mip*= re

Z Ji, A Natarajan, T Vidick, J Wright… - Communications of the …, 2021 - dl.acm.org
Note from the Research Highlights Co-Chairs: A Research Highlights paper appearing in
Communications is usually peer-reviewed prior to publication. The following paper is …

A strong no-go theorem on the Wigner's friend paradox

KW Bong, A Utreras-Alarcón, F Ghafari, YC Liang… - Nature Physics, 2020 - nature.com
Does quantum theory apply at all scales, including that of observers? New light on this
fundamental question has recently been shed through a resurgence of interest in the long …

Nonlocality and communication complexity

H Buhrman, R Cleve, S Massar, R De Wolf - Reviews of modern physics, 2010 - APS
Quantum information processing is the emerging field that defines and realizes computing
devices that make use of quantum mechanical principles such as the superposition …

Consequences and limits of nonlocal strategies

R Cleve, P Hoyer, B Toner… - Proceedings. 19th IEEE …, 2004 - ieeexplore.ieee.org
This paper investigates various aspects of the nonlocal effects that can arise when
entangled quantum information is shared between two parties. A natural framework for …

Specker's parable of the overprotective seer: A road to contextuality, nonlocality and complementarity

YC Liang, RW Spekkens, HM Wiseman - Physics Reports, 2011 - Elsevier
In 1960, the mathematician Ernst Specker described a simple example of nonclassical
correlations, the counter-intuitive features of which he dramatized using a parable about a …

Quantum isomorphism is equivalent to equality of homomorphism counts from planar graphs

L Mančinska, DE Roberson - 2020 IEEE 61st Annual …, 2020 - ieeexplore.ieee.org
Over 50 years ago, Lovász proved that two graphs are isomorphic if and only if they admit
the same number of homomorphisms from any graph. Other equivalence relations on …

Sum-of-squares decompositions for a family of Clauser-Horne-Shimony-Holt-like inequalities and their application to self-testing

C Bamps, S Pironio - Physical Review A, 2015 - APS
We introduce two families of sum-of-squares (SOS) decompositions for the Bell operators
associated with the tilted Clauser-Horne-Shimony-Holt (CHSH) expressions introduced in …

Geometry of the set of quantum correlations

KT Goh, J Kaniewski, E Wolfe, T Vértesi, X Wu, Y Cai… - Physical Review A, 2018 - APS
It is well known that correlations predicted by quantum mechanics cannot be explained by
any classical (local-realistic) theory. The relative strength of quantum and classical …