Local hidden variable values without optimization procedures

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Local hidden variable values without optimization procedures

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Local hidden variable values without optimization procedures

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

Quantum

ISSN

2521-327X

e-ISSN

—

Svazek periodika

—

Číslo periodika v rámci svazku

2023-02-02

Stát vydavatele periodika

AT - Rakouská republika

Počet stran výsledku

14

Strana od-do

1-14

Kód UT WoS článku

000931565100001

EID výsledku v databázi Scopus

2-s2.0-85171166350