Quantum

Entanglement measures and LOCC conversion criteria from Schur-Weyl duality

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Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 30/10/2026, 06:43:24 UTC.

Briefings

A new method using Schur-Weyl duality and semidefinite programming hierarchies optimizes entanglement spectrum functions for bipartite states. This approach enables accurate calculation of entanglement of formation and characterizes entanglement dimensionality. It also provides a hierarchy of certificates for LOCC non-convertibility from pure to mixed states in any dimension, along with a heuristic for LOCC convertibility.

Key points

• The method uses Schur-Weyl duality to optimize functions of the entanglement spectrum over mixed-state decompositions with arbitrary accuracy.
• A hierarchy of certificates of LOCC non-convertibility is established for pure-to-mixed state transformations in any dimension.

Context

Quantum entanglement characterization is central for understanding quantum resources, but explicit results require complicated optimizations. This research introduces a convergent semidefinite programming hierarchy based on Schur-Weyl duality to solve these optimization problems.

Limitations

The evidence is a preprint (arXiv:2610.37785v1) from October 2026, so results are unverified. The study focuses on bipartite states and specific optimization hierarchies; general applicability to other quantum resources remains unproven. No experimental data or specific numerical results are provided.

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