Entanglement map · Partial

When can many copies of one tensor produce another?

Settled in some cases only.

Multipartite pure states are tensors, so asymptotic conversion meets Strassen's programme on matrix multiplication. Quantum functionals gave the first nontrivial universal spectral points after thirty years, and connect to the quantum marginal problem and entanglement polytopes.

Still unknown

Quantum functionals give some spectral points, not a full solution of the asymptotic restriction problem.

Connections

• Part of: Multipartite entanglement
• See also: Three qubits can be entangled in two inequivalent ways

Sources

• Universal points in the asymptotic spectrum of tensors. M. Christandl, P. Vrana, J. Zuiddam, 2017.

Checked 2026-10-30.