Entanglement map · Established

No single maximally entangled multipartite state exists

Proved, with a source.

Since no one state plays this role, de Vicente, Spee and Kraus define a maximally entangled set. They determine it for three and four qubits. It is infinite in both cases, of measure zero for three qubits, and includes almost all four-qubit states.

Connections

• Part of: Multipartite entanglement
• See also: Three qubits can be entangled in two inequivalent ways
• See also: Almost all multipartite pure states are isolated under LOCC

Sources

• The maximally entangled set of multipartite quantum states. J. I. de Vicente, C. Spee, B. Kraus, 2013.

Checked 2026-10-30.