Entanglement map · Established

Almost all multipartite pure states are isolated under LOCC

Proved, with a source.

Generic states have no nontrivial local symmetry. As a result, nontrivial deterministic LOCC transformations among generic fully entangled states are almost never possible.

Connections

• Part of: Multipartite entanglement
• See also: No single maximally entangled multipartite state exists

Sources

• Almost all multipartite qubit quantum states have trivial stabilizer. G. Gour, B. Kraus, N. R. Wallach, 2016.
• Transformations among pure multipartite entangled states via local operations are almost never possible. D. Sauerwein, N. R. Wallach, G. Gour, B. Kraus, 2017.

Checked 2026-10-30.