Optimal tests of genuine multipartite nonlocality

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F22%3A73617300" target="_blank" >RIV/61989592:15310/22:73617300 - isvavai.cz</a>

Result on the web

<a href="https://iopscience.iop.org/article/10.1088/1367-2630/aca8c8/pdf" target="_blank" >https://iopscience.iop.org/article/10.1088/1367-2630/aca8c8/pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1367-2630/aca8c8" target="_blank" >10.1088/1367-2630/aca8c8</a>

Result language

angličtina

Original language name

Optimal tests of genuine multipartite nonlocality

Original language description

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 models of local hidden variables, namely the Svetlichny and the no-signaling bilocal models. While our knowledge concerning these models is well established for Bell-type scenarios involving two measurement settings per party, the general case based on an arbitrary number of settings is a considerably more challenging task and very little work has been done in this field. In this paper, we applied such general tests to detect and characterize genuine n-way nonlocal correlations for various states of three qubits and qutrits. Apart from the fundamental problem of characterizing genuine multipartite nonlocal correlations, the extension of the number of measurements beyond two is also of practical importance. As a measure of nonlocality, we use the probability of violation of local realism under randomly sampled observables, and the strength of nonlocality, described by the resistance to white noise admixture. In particular, we analyze to what extent the Bell-type scenario involving two measurement settings can be used to certify genuine n-way nonlocal correlations generated for more general models. In addition, we propose a simple procedure to detect such nonlocal correlations for randomly chosen settings with an efficiency of up to 100%. Due to its near-perfect efficiency, our method may open new possibilities in device-independent quantum cryptography applications where strong nonlocality between all partners is required.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10306 - Optics (including laser optics and quantum optics)

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2022

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

New Journal of Physics

ISSN

1367-2630

e-ISSN

—

Volume of the periodical

24

Issue of the periodical within the volume

12

Country of publishing house

GB - UNITED KINGDOM

Number of pages

14

Pages from-to

"123017-1"-"123017-14"

UT code for WoS article

000898939100001

EID of the result in the Scopus database

2-s2.0-85144618471