Entanglement map · Established

Entanglement cost equals regularised entanglement of formation

Proved, with a source.

The asymptotic cost of preparing a state equals its entanglement of formation per copy, in the limit of many copies. The formula is exact but involves a limit that is hard to evaluate.

Connections

• Part of: Measures
• See also: Entanglement of formation is additive
• See also: Entanglement manipulation under LOCC is irreversible

Sources

• The asymptotic entanglement cost of preparing a quantum state. P. M. Hayden, M. Horodecki, B. M. Terhal, 2000.

Checked 2026-10-30.