Entanglement map · Topic

Multipartite entanglement

What changes when three or more parties share a state? There is no longer one maximally entangled state to aim for, and the classification of states grows quickly with the number of parties.

Connections

• Part of: Entanglement
• Includes: Three qubits can be entangled in two inequivalent ways
• Includes: Four qubits fall into nine families
• Includes: Entanglement between qubits is monogamous
• Includes: No single maximally entangled multipartite state exists
• Includes: Almost all multipartite pure states are isolated under LOCC
• Includes: Two bound entangled states can together be distillable
• Includes: Standard genuine multipartite entanglement can be built from pairs
• Includes: For which parties and dimensions do AME states exist?
• Includes: Seven-party AME states exist exactly when d ≥ 3
• Includes: When can many copies of one tensor produce another?

Sources

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

Checked 2026-10-30.