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Entanglement Theory Quantum Correlations Open Quantum Systems Decoherence

The three kinds of three-qubit entanglement

arXiv
Authors: Szilárd Szalay

Year

2025

Paper ID

17363

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

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.

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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2511.07617 [2] arXiv https://arxiv.org/abs/2511.07617 [3] Publisher https://arxiv.org/abs/2511.07617

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