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 …

Multidimensional quantum entanglement with large-scale integrated optics

J Wang, S Paesani, Y Ding, R Santagati, P Skrzypczyk… - Science, 2018‏ - science.org
The ability to control multidimensional quantum systems is central to the development of
advanced quantum technologies. We demonstrate a multidimensional integrated quantum …

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 fidelity measures for mixed states

YC Liang, YH Yeh, PEMF Mendonça… - Reports on Progress …, 2019‏ - iopscience.iop.org
Applications of quantum technology often require fidelities to quantify performance. These
provide a fundamental yardstick for the comparison of two quantum states. While this is …

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 …

Quantum networks self-test all entangled states

I Šupić, J Bowles, MO Renou, A Acín, MJ Hoban - Nature Physics, 2023‏ - nature.com
Certifying quantum properties with minimal assumptions is a fundamental problem in
quantum information science. Self-testing is a method to infer the underlying physics of a …

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 …

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 …

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 …