GNME quantifies entanglement that cannot be prepared from lower-party network resources, revealing sharp peaks at criticality in the Ising model and absence in some spin liquids where GME is strong.
Given a three-qubit stateρ, we construct the extended stateρ ext =ρ⊗I/D, where the ancilla is a three-qubit maximally mixed state withD=8
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Network-Irreducible Multiparty Entanglement in Quantum Matter
GNME quantifies entanglement that cannot be prepared from lower-party network resources, revealing sharp peaks at criticality in the Ising model and absence in some spin liquids where GME is strong.