2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157020We propose a new kind of invariant of multi-party stabilizer states with respect to local Clifford equivalence. These homological invariants are discrete entities defined in terms of the entanglement a state enjoys with respect to arbitrary groupings of the parties, and they may be thought of as reflecting entanglement in a qualitative way. We investigate basic properties of the invariants and link them with known results on the extraction of GHZ states.18 pages, 4 figuresQuantum Physicstext