Homological invariants of stabilizer states (pp0595-0621)
          Klaus Wirthmuller
          doi: https://doi.org/10.26421/QIC8.6-7-3
Abstracts: We 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.
Key words:  multipartite quantum systems, entanglement, stabilizer states, local Clifford equivalence, classification, GHZ states, cohomology of sheaves, duality