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 …

[BOOK][B] Bell nonlocality

V Scarani - 2019 - library.oapen.org
Nonlocality was discovered by John Bell in 1964, in the context of the debates about
quantum theory, but is a phenomenon that can be studied in its own right. Its observation …

Quantifying Bell nonlocality with the trace distance

SGA Brito, B Amaral, R Chaves - Physical Review A, 2018 - APS
Measurements performed on distant parts of an entangled quantum state can generate
correlations incompatible with classical theories respecting the assumption of local …

Necessary and sufficient condition for contextuality from incompatibility

ZP Xu, A Cabello - Physical Review A, 2019 - APS
Measurement incompatibility is the most basic resource that distinguishes quantum from
classical physics. Contextuality is the critical resource behind the power of some models of …

Optimal tests of genuine multipartite nonlocality

M Pandit, A Barasiński, I Márton, T Vértesi… - New Journal of …, 2022 - iopscience.iop.org
We propose an optimal and efficient numerical test for witnessing genuine multipartite
nonlocality based on a geometric approach. In particular, we consider two non-equivalent …

Measurement compatibility in Bell nonlocality tests

T Temistocles, R Rabelo, MT Cunha - Physical Review A, 2019 - APS
Incompatibility of observables, or measurements, is one of the key features of quantum
mechanics, related, among other concepts, to Heisenberg's uncertainty relations and Bell …

Probing the limits of correlations in an indivisible quantum system

M Malinowski, C Zhang, FM Leupold, A Cabello… - Physical Review A, 2018 - APS
We employ a trapped ion to study quantum contextual correlations in a single qutrit using the
5-observable Klyachko, Can, Binicioğlu, and Shumovsky inequality, which is arguably the …

Quantum nonlocality determined by fine-grained uncertainty relations

X Zhou, LL Sun, S Yu - Physical Review A, 2024 - APS
Quantum nonlocality and the uncertainty principle are two fundamental cornerstones of
quantum theory, reflecting totally different aspects that distinguish it from classical theory …

Almost-quantum correlations and their refinements in a tripartite Bell scenario

J Vallins, AB Sainz, YC Liang - Physical Review A, 2017 - APS
We study the set of almost-quantum correlations and their refinements in the simplest
tripartite Bell scenario where each party is allowed to perform two dichotomic …

Experimental construction of a symmetric three-qubit entangled state and its utility in testing the violation of a Bell inequality on an NMR quantum simulator

D Singh, V Gulati, K Dorai - arxiv preprint arxiv:2206.12870, 2022 - arxiv.org
We designed a quantum circuit to prepare a permutation-symmetric maximally entangled
three-qubit state called the $\vert {\rm S}\rangle $ state and experimentally created it on an …