New Localizable Entanglement

Fuente: arXiv
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Main Authors: Sabour, Abbaas, Khazali, Fereydoon, Ghanavati, Soghra
Format: Preprint
Published: 2025
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author Sabour, Abbaas
Khazali, Fereydoon
Ghanavati, Soghra
author_facet Sabour, Abbaas
Khazali, Fereydoon
Ghanavati, Soghra
contents In this study, we have addressed an ambiguity in the concept of localizable entanglement (LE) introduced by Verstraete et al in 2004. By doing so, we have proposed and explored a unique form of this entanglement, called new localizable entanglement (NLE). We have shown that NLE is always less than or equal to LE. Additionally, we have demonstrated that for systems with three components, NLE does not differ significantly from LE. However, when the number of components increases to four, there is a possibility of significant differences between the two methods. Furthermore, as the number of components increases further, this difference becomes slightly more pronounced. It appears that the classical correlation, which is the lower bound for LE, is also a lower bound for NLE.
format Preprint
id arxiv_https___arxiv_org_abs_2507_11020
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle New Localizable Entanglement
Sabour, Abbaas
Khazali, Fereydoon
Ghanavati, Soghra
Quantum Physics
In this study, we have addressed an ambiguity in the concept of localizable entanglement (LE) introduced by Verstraete et al in 2004. By doing so, we have proposed and explored a unique form of this entanglement, called new localizable entanglement (NLE). We have shown that NLE is always less than or equal to LE. Additionally, we have demonstrated that for systems with three components, NLE does not differ significantly from LE. However, when the number of components increases to four, there is a possibility of significant differences between the two methods. Furthermore, as the number of components increases further, this difference becomes slightly more pronounced. It appears that the classical correlation, which is the lower bound for LE, is also a lower bound for NLE.
title New Localizable Entanglement
topic Quantum Physics
url https://arxiv.org/abs/2507.11020