Entanglement map · Established

Noisy entanglement can be purified by LOCC

Proved, with a source.

From many sufficiently pure noisy pairs, two parties can extract fewer pairs of arbitrarily high fidelity, then use them for teleportation. Distillation protocols are also tied directly to quantum error correction.

Connections

• Part of: Conversion
• See also: Can distillable entanglement be computed in general?
• Needed by: Every entangled two-qubit state is distillable

Sources

• Purification of noisy entanglement and faithful teleportation via noisy channels. C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, W. K. Wootters, 1995.
• Mixed state entanglement and quantum error correction. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, W. K. Wootters, 1996.

Checked 2026-10-30.