Hierarchies of multi-partite entanglement
Federico Levi, Florian Mintert

TL;DR
This paper develops hierarchical criteria to classify various levels of entanglement in mixed quantum states, from bipartite to genuine multi-partite, applicable to systems of any size.
Contribution
It introduces a systematic hierarchy of separability criteria for identifying different entanglement classes in complex quantum states.
Findings
Hierarchies effectively distinguish entanglement levels.
Applicable to mixed states of arbitrary size.
Enhances understanding of multi-partite entanglement structure.
Abstract
We derive hierarchies of separability criteria that identify the different degrees of entanglement ranging from bipartite to genuine multi-partite in mixed quantum states of arbitrary size.
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