Semidefinite programming relaxations for quantum correlations
Semidefinite programs are convex optimization problems involving a linear objective
function and a domain of positive-semidefinite matrices. Over the past two decades, they …
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 …
quantum theory, but is a phenomenon that can be studied in its own right. Its observation …
Quantifying Bell nonlocality with the trace distance
Measurements performed on distant parts of an entangled quantum state can generate
correlations incompatible with classical theories respecting the assumption of local …
correlations incompatible with classical theories respecting the assumption of local …
Necessary and sufficient condition for contextuality from incompatibility
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 …
classical physics. Contextuality is the critical resource behind the power of some models of …
Optimal tests of genuine multipartite nonlocality
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 …
nonlocality based on a geometric approach. In particular, we consider two non-equivalent …
Measurement compatibility in Bell nonlocality tests
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 …
mechanics, related, among other concepts, to Heisenberg's uncertainty relations and Bell …
Probing the limits of correlations in an indivisible quantum system
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 …
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 …
quantum theory, reflecting totally different aspects that distinguish it from classical theory …
Almost-quantum correlations and their refinements in a tripartite Bell scenario
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 …
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
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 …
three-qubit state called the $\vert {\rm S}\rangle $ state and experimentally created it on an …