Volume of violation of Bell-type inequalities as a measure of nonlocality

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73589176" target="_blank" >RIV/61989592:15310/18:73589176 - isvavai.cz</a>

Výsledek na webu

<a href="https://journals.aps.org/pra/pdf/10.1103/PhysRevA.98.022132" target="_blank" >https://journals.aps.org/pra/pdf/10.1103/PhysRevA.98.022132</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevA.98.022132" target="_blank" >10.1103/PhysRevA.98.022132</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Volume of violation of Bell-type inequalities as a measure of nonlocality

Popis výsledku v původním jazyce

Motivated by the recent proposal for the quantification of the Bell nonlocality [Phys. Rev. A 92, 030101(R) (2015)], we provide an extensive analysis of this concept, namely, the volume of violation. This new measure of nonlocality has been proposed to deliver an evidence that the anomaly between maximally entangled states and states that maximally violate a Bell inequality is caused by the method, which has been applied to quantify nonlocality and the anomaly disappears when the volume of violation in used. We prove that such conclusion is not true for all bipartite quantum systems with dimension d circle times d. In fact, if one assumes the same condition as in Phys. . A 92, 030101(R) (2015), it is limited to d &lt;= 7. Furthermore, we discuss several type of local measurements and their influence on the quantification of nonlocality by mean of volume of violation. In particular, we propose a set of local observers that significantly enhance the volume of violation, which may have important meaning in a real-world application. Finally, we present a comparison between the volume of violation and the maximal violation of a Bell inequality.

Název v anglickém jazyce

Volume of violation of Bell-type inequalities as a measure of nonlocality

Popis výsledku anglicky

Motivated by the recent proposal for the quantification of the Bell nonlocality [Phys. Rev. A 92, 030101(R) (2015)], we provide an extensive analysis of this concept, namely, the volume of violation. This new measure of nonlocality has been proposed to deliver an evidence that the anomaly between maximally entangled states and states that maximally violate a Bell inequality is caused by the method, which has been applied to quantify nonlocality and the anomaly disappears when the volume of violation in used. We prove that such conclusion is not true for all bipartite quantum systems with dimension d circle times d. In fact, if one assumes the same condition as in Phys. . A 92, 030101(R) (2015), it is limited to d &lt;= 7. Furthermore, we discuss several type of local measurements and their influence on the quantification of nonlocality by mean of volume of violation. In particular, we propose a set of local observers that significantly enhance the volume of violation, which may have important meaning in a real-world application. Finally, we present a comparison between the volume of violation and the maximal violation of a Bell inequality.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10306 - Optics (including laser optics and quantum optics)

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

PHYSICAL REVIEW A

ISSN

2469-9926

e-ISSN

—

Svazek periodika

98

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

9

Strana od-do

"022132-1"-"022132-9"

Kód UT WoS článku

000442660300002

EID výsledku v databázi Scopus

2-s2.0-85052675917