The three kinds of three-qubit entanglement
Abstract
We construct an important missing piece in the entanglement theory of pure three-qubit states, which is a polynomial measure of W-entanglement, working in parallel to the three-tangle, which is a polynomial measure of GHZ-entanglement, and to the bipartite concurrence, which is a polynomial measure of bipartite entanglement. We also show that these entanglement measures are ordered, the bipartite measure is larger than the W measure, which is larger than the GHZ measure. It is meaningful then to consider these three types of three-qubit entanglement, which are also ordered, bipartite is weaker than W, which is weaker than GHZ, in parallel to the order of the three equivalence classes of entangled three-qubit states.
Keywords
Cite
@article{arxiv.2511.07617,
title = {The three kinds of three-qubit entanglement},
author = {Szilárd Szalay},
journal= {arXiv preprint arXiv:2511.07617},
year = {2025}
}
Comments
minor improvements, some results added, 9 pages, 2 plots