Quantifying the Operational Cost of Multipartite Entanglement
Abstract
Multipartite entanglement determines the strength and range of interactions in many-body quantum systems. Yet, it is hard to evaluate it, due to the complex structures of quantum states. Here, we introduce a generic method to quantify the k <= N-partite entanglement of an N-particle system, by maximizing an arbitrary bipartite entanglement measure within subsystems of size up to k. The resulting classification of multipartite states captures their experimental cost: creating a k-partite entangled state requires at least k-1 two-particle entangling gates. Further, we analytically calculate the newly defined k-partite entanglement of formation, which generalizes an important bipartite entanglement measure, in several classes of states, including the W states of any dimension.
Cite
@article{arxiv.2602.04760,
title = {Quantifying the Operational Cost of Multipartite Entanglement},
author = {Francois Payn and Michele Minervini and Davide Girolami},
journal= {arXiv preprint arXiv:2602.04760},
year = {2026}
}
Comments
6+3 pages