Entanglement map · Established

Every entangled two-qubit state is distillable

Proved, with a source.

Local filtering followed by purification works on any inseparable 2×2 state. In this smallest case, entanglement and distillability coincide.

Connections

• Part of: Conversion
• Relies on: Noisy entanglement can be purified by LOCC
• See also: Do bound entangled states with a negative partial transpose exist?

Sources

• Distillability of inseparable quantum systems. M. Horodecki, P. Horodecki, R. Horodecki, 1996.

Checked 2026-10-30.