The three kinds of three-qubit entanglement

Fuente: arXiv
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Autore principale: Szalay, Szilárd
Natura: Preprint
Pubblicazione: 2025
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author Szalay, Szilárd
author_facet Szalay, Szilárd
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_07617
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The three kinds of three-qubit entanglement
Szalay, Szilárd
Quantum Physics
Mathematical Physics
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.
title The three kinds of three-qubit entanglement
topic Quantum Physics
Mathematical Physics
url https://arxiv.org/abs/2511.07617