A classification of entanglement in three-qubit systems

TL;DR

This paper proposes a classification scheme for three-qubit entanglement types based on their entanglement properties, providing practical criteria for pure states and partial insights for mixed states.

Contribution

It introduces a new classification framework for three-qubit entanglement, linking state types to local unitary equivalence classes and offering partial results for mixed states.

Findings

Classification based on three-qubit and two-qubit entanglements

Criteria for pure states are easily implementable

Partial results for mixed state entanglement characterization

Abstract

We present a classification of three-qubit states based in their three-qubit and reduced two-qubit entanglements. For pure states these criteria can be easily implemented, and the different types can be related with sets of equivalence classes under Local Unitary operations. For mixed states characterization of full tripartite entanglement is not yet solved in general; some partial results will be presented here.