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 …

Self-testing of quantum systems: a review

I Šupić, J Bowles - Quantum, 2020 - quantum-journal.org
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 …

Quantum steering: a review with focus on semidefinite programming

D Cavalcanti, P Skrzypczyk - Reports on Progress in Physics, 2016 - iopscience.iop.org
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 …

All pure bipartite entangled states can be self-tested

A Coladangelo, KT Goh, V Scarani - Nature communications, 2017 - nature.com
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 …

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 …

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 …

Quantifying Bell: The resource theory of nonclassicality of common-cause boxes

E Wolfe, D Schmid, AB Sainz, R Kunjwal… - Quantum, 2020 - quantum-journal.org
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 …

Self-testing quantum states and measurements in the prepare-and-measure scenario

A Tavakoli, J Kaniewski, T Vértesi, D Rosset, N Brunner - Physical Review A, 2018 - APS
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 …

Tight analytic bound on the trade-off between device-independent randomness and nonlocality

L Wooltorton, P Brown, R Colbeck - Physical Review Letters, 2022 - APS
Two parties sharing entangled quantum systems can generate correlations that cannot be
produced using only shared classical resources. These nonlocal correlations are a …

Bell inequalities tailored to maximally entangled states

A Salavrakos, R Augusiak, J Tura, P Wittek, A Acín… - Physical review …, 2017 - APS
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 …