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 |