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 …

Probing quantum correlations in many-body systems: a review of scalable methods

I Frérot, M Fadel, M Lewenstein - Reports on Progress in Physics, 2023 - iopscience.iop.org
In both classical and quantum many-body physics, it is a core issue to characterize statistical
correlations among different degrees of freedom. From this point of view, a natural question …

Demonstration of Shor's factoring algorithm for N 21 on IBM quantum processors

U Skosana, M Tame - Scientific reports, 2021 - nature.com
We report a proof-of-concept demonstration of a quantum order-finding algorithm for
factoring the integer 21. Our demonstration involves the use of a compiled version of the …

Quantum inflation: A general approach to quantum causal compatibility

E Wolfe, A Pozas-Kerstjens, M Grinberg, D Rosset… - Physical Review X, 2021 - APS
Causality is a seminal concept in science: Any research discipline, from sociology and
medicine to physics and chemistry, aims at understanding the causes that could explain the …

Scalable bell inequalities for qubit graph states and robust self-testing

F Baccari, R Augusiak, I Šupić, J Tura, A Acín - Physical review letters, 2020 - APS
Bell inequalities constitute a key tool in quantum information theory: they not only allow one
to reveal nonlocality in composite quantum systems, but, more importantly, they can be used …

Decision diagrams for quantum measurements with shallow circuits

S Hillmich, C Hadfield, R Raymond… - 2021 IEEE …, 2021 - ieeexplore.ieee.org
We consider the problem of estimating quantum observables on a collection of qubits, given
as a linear combination of Pauli operators, with shallow quantum circuits consisting of single …

Bounding the sets of classical and quantum correlations in networks

A Pozas-Kerstjens, R Rabelo, Ł Rudnicki, R Chaves… - Physical review …, 2019 - APS
We present a method that allows the study of classical and quantum correlations in networks
with causally independent parties, such as the scenario underlying entanglement swap** …

Semi-definite programming and quantum information

P Mironowicz - Journal of Physics A: Mathematical and …, 2024 - iopscience.iop.org
This paper presents a comprehensive exploration of semi-definite programming (SDP)
techniques within the context of quantum information. It examines the mathematical …

Proofs of network quantum nonlocality in continuous families of distributions

A Pozas-Kerstjens, N Gisin, MO Renou - Physical Review Letters, 2023 - APS
The study of nonlocality in scenarios that depart from the bipartite Einstein-Podolsky-Rosen
setup is allowing one to uncover many fundamental features of quantum mechanics …

Machine learning detection of bell nonlocality in quantum many-body systems

DL Deng - Physical review letters, 2018 - APS
Machine learning, the core of artificial intelligence and big data science, is one of today's
most rapidly growing interdisciplinary fields. Recently, machine learning tools and …