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arXiv:2507.11020

New Localizable Entanglement

Abbaas Sabour, Fereydoon Khazali, Soghra Ghanavati

Published Jul 15, 2025• 0 citations
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Abstract

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.

DOI
10.48550/arxiv.2507.11020

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Abstract Two or more particles which have interacted in the past, may in general maintain nontrivial quantum mechanical correlations, described by non-factorized wave functions. These correlations, under optimal conditions, can manifest themselves no matter how far they travel away from each other and even when the separate parts cannot dynamically influence each other, leading to apparently paradoxical situations. These correlations are known as quantum entanglement. However counter-intuitive and surprising it may sometimes look, it is rather one of the more beautiful and experimentally well established predictions of quantum mechanics.