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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 …
function and a domain of positive-semidefinite matrices. Over the past two decades, they …
Bell nonlocality
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 …
accounted for by any local theory, represents one of the most profound developments in the …
Mip*= re
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 …
Communications is usually peer-reviewed prior to publication. The following paper is …
A strong no-go theorem on the Wigner's friend paradox
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 …
fundamental question has recently been shed through a resurgence of interest in the long …
Nonlocality and communication complexity
Quantum information processing is the emerging field that defines and realizes computing
devices that make use of quantum mechanical principles such as the superposition …
devices that make use of quantum mechanical principles such as the superposition …
Consequences and limits of nonlocal strategies
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 …
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
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 …
correlations, the counter-intuitive features of which he dramatized using a parable about a …
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 …
associated with the tilted Clauser-Horne-Shimony-Holt (CHSH) expressions introduced in …
Analytic and nearly optimal self-testing bounds for the Clauser-Horne-Shimony-Holt and Mermin inequalities
J Kaniewski - Physical review letters, 2016 - APS
Self-testing refers to the phenomenon that certain extremal quantum correlations (almost)
uniquely identify the quantum system under consideration. For instance, observing the …
uniquely identify the quantum system under consideration. For instance, observing the …
Geometry of the set of quantum correlations
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 …
any classical (local-realistic) theory. The relative strength of quantum and classical …