bibkey: vidal2000formationmonotones authors: Guifré Vidal year: 2000 title: “Entanglement monotones” doi: 10.1080/09500340008244048 url: https://arxiv.org/abs/quant-ph/9807077v2 claim: “Theorem 2 obtains selective local monotonicity of a convex-roof quantity from concavity of its marginal function.” strata_touched:
- D5/S3/Quantum/Entanglement/GraphDensity/FormationBounds license: citation-only triage: anchor
Verified locator
DOI: https://doi.org/10.1080/09500340008244048
Source: https://arxiv.org/abs/quant-ph/9807077v2
Statement and scope
Theorem 2 and its proof. A concave unitarily invariant function of the reduced density matrix defines a pure-state entanglement monotone; its convex-roof extension does not increase on average under local operations. The finite-coordinate selective measurement considered here is a projective partition on the second factor, including zero-probability branches.