Entanglement map · Established

Majorization decides single-copy pure state conversion

Proved, with a source.

Nielsen's theorem gives necessary and sufficient conditions for converting one bipartite pure state into another by LOCC, in terms of a partial order on their Schmidt coefficients.

Connections

• Part of: Conversion
• See also: A measure must not increase under local operations
• See also: Entangled catalysts enable otherwise impossible conversions

Sources

• Conditions for a class of entanglement transformations. M. A. Nielsen, 1998.

Checked 2026-10-30.