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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 …
Self-testing of quantum systems: a review
Self-testing is a method to infer the underlying physics of a quantum experiment in a black
box scenario. As such it represents the strongest form of certification for quantum systems. In …
box scenario. As such it represents the strongest form of certification for quantum systems. In …
Quantum steering: a review with focus on semidefinite programming
Quantum steering refers to the non-classical correlations that can be observed between the
outcomes of measurements applied on half of an entangled state and the resulting post …
outcomes of measurements applied on half of an entangled state and the resulting post …
All pure bipartite entangled states can be self-tested
Quantum technologies promise advantages over their classical counterparts in the fields of
computation, security and sensing. It is thus desirable that classical users are able to obtain …
computation, security and sensing. It is thus desirable that classical users are able to obtain …
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 …
Quantifying Bell: The resource theory of nonclassicality of common-cause boxes
We take a resource-theoretic approach to the problem of quantifying nonclassicality in Bell
scenarios. The resources are conceptualized as probabilistic processes from the setting …
scenarios. The resources are conceptualized as probabilistic processes from the setting …
Self-testing quantum states and measurements in the prepare-and-measure scenario
The goal of self-testing is to characterize an a priori unknown quantum system based solely
on measurement statistics, ie, using an uncharacterized measurement device. Here we …
on measurement statistics, ie, using an uncharacterized measurement device. Here we …
Tight analytic bound on the trade-off between device-independent randomness and nonlocality
Two parties sharing entangled quantum systems can generate correlations that cannot be
produced using only shared classical resources. These nonlocal correlations are a …
produced using only shared classical resources. These nonlocal correlations are a …
Bell inequalities tailored to maximally entangled states
Bell inequalities have traditionally been used to demonstrate that quantum theory is
nonlocal, in the sense that there exist correlations generated from composite quantum states …
nonlocal, in the sense that there exist correlations generated from composite quantum states …