Entanglement map · Topic

Conversion

What can one entangled state be turned into, using only local operations and classical communication (LOCC)? Conversion treats entanglement as a resource, and most of its hardest open questions concern noisy states that resist distillation.

Connections

• Part of: Entanglement
• Includes: Partly entangled pure states concentrate into singlets
• Includes: Majorization decides single-copy pure state conversion
• Includes: Entangled catalysts enable otherwise impossible conversions
• Includes: With catalysts, entanglement entropy decides pure state conversion
• Includes: Noisy entanglement can be purified by LOCC
• Includes: Every entangled two-qubit state is distillable
• Includes: Bound entanglement exists
• Includes: Bound entanglement can improve teleportation
• Includes: Do bound entangled states with a negative partial transpose exist?
• Includes: NPT Werner states are two-copy undistillable in every dimension
• Includes: Bell nonlocality implies distillability (the Peres conjecture)
• Includes: Entanglement manipulation under LOCC is irreversible
• Includes: Entanglement is reversible under all non-entangling operations
• Includes: The generalised quantum Stein's lemma, and reversibility under asymptotically non-entangling operations
• Includes: Catalysis cannot distill PPT bound entanglement

Sources

• Quantum entanglement. R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki, 2007.
• Bipartite bound entanglement. B. C. Hiesmayr, C. Popp, T. C. Sutter, 2024.

Checked 2026-10-30.