Local hidden variable values without optimization procedures

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F23%3AA2402KRK" target="_blank" >RIV/61988987:17310/23:A2402KRK - isvavai.cz</a>
Result on the web
<a href="https://quantum-journal.org/papers/q-2023-02-02-911/" target="_blank" >https://quantum-journal.org/papers/q-2023-02-02-911/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.22331/q-2023-02-02-911" target="_blank" >10.22331/q-2023-02-02-911</a>

Result language
angličtina
Original language name
Local hidden variable values without optimization procedures
Original language description
The problem of computing the local hidden variable (LHV) value of a Bell inequality plays a central role in the study of quantum nonlocality. In particular, this problem is the first step towards characterizing the LHV polytope of a given scenario. In this work, we establish a relation between the LHV value of bipartite Bell inequalities and the mathematical notion of excess of a matrix. Inspired by the well developed theory of excess, we derive several results that directly impact the field of quantum nonlocality. We show infinite families of bipartite Bell inequalities for which the LHV value can be computed exactly, without needing to solve any optimization problem, for any number of measurement settings. We also find tight Bell inequalities for a large number of measurement settings.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)