Bell nonlocality in networks

A Tavakoli, A Pozas-Kerstjens, MX Luo… - Reports on Progress in …, 2022 - iopscience.iop.org
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 …

Quantum steering

R Uola, ACS Costa, HC Nguyen, O Gühne - Reviews of Modern Physics, 2020 - APS
Quantum correlations between two parties are essential for the argument of Einstein,
Podolsky, and Rosen in favor of the incompleteness of quantum mechanics. Schrödinger …

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 …

Quantum steering: Practical challenges and future directions

Y Xiang, S Cheng, Q Gong, Z Ficek, Q He - PRX Quantum, 2022 - APS
Einstein-Rosen-Podolsky (EPR) steering or quantum steering describes the “spooky action
at a distance” that one party is able to remotely alter the states of the other if they share a …

Experimental quantification of asymmetric Einstein-Podolsky-Rosen steering

K Sun, XJ Ye, JS Xu, XY Xu, JS Tang, YC Wu… - Physical Review Letters, 2016 - APS
Einstein-Podolsky-Rosen (EPR) steering describes the ability of one observer to nonlocally
“steer” the other observer's state through local measurements. EPR steering exhibits a …

Quantification of Einstein-Podolsky-Rosen steering for two-qubit states

ACS Costa, RM Angelo - Physical Review A, 2016 - APS
In the last few years, several criteria to identify Einstein-Podolsky-Rosen steering have been
proposed and experimentally implemented. On the operational side, however, the …

Multipartite Gaussian steering: Monogamy constraints and quantum cryptography applications

Y Xiang, I Kogias, G Adesso, Q He - Physical Review A, 2017 - APS
We derive laws for the distribution of quantum steering among different parties in multipartite
Gaussian states under Gaussian measurements. We prove that a monogamy relation akin to …

Network quantum steering

BDM Jones, I Šupić, R Uola, N Brunner… - Physical Review Letters, 2021 - APS
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 …

Semidefinite programming relaxations for quantum correlations

A Tavakoli, A Pozas-Kerstjens, P Brown… - arXiv preprint arXiv …, 2023 - arxiv.org
Semidefinite programs are convex optimisation problems involving a linear objective
function and a domain of positive semidefinite matrices. Over the last two decades, they …

Sufficient criterion for guaranteeing that a two-qubit state is unsteerable

J Bowles, F Hirsch, MT Quintino, N Brunner - Physical Review A, 2016 - APS
Quantum steering can be detected via the violation of steering inequalities, which provide
sufficient conditions for the steerability of quantum states. Here we discuss the converse …