{"paper":{"title":"Self-testing of exact entanglement embezzlement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.OA","authors_text":"Samuel J. Harris","submitted_at":"2026-05-21T16:50:39Z","abstract_excerpt":"We consider bipartite exact entanglement embezzlement with a catalyst state vector $\\psi$ in a Hilbert space $\\mathcal{H}$ using unitaries (or more generally, contractions). If $\\mathcal{M} \\subseteq \\mathcal{B}(\\mathcal{H})$ is a von Neumann algebra and $U \\in M_d \\otimes \\mathcal{M}$ and $V \\in \\mathcal{M}' \\otimes M_d$ are unitaries (or more generally contractions), then such a protocol is of the form $(U \\otimes I_d)(I_d \\otimes V)(e_0 \\otimes \\psi \\otimes e_0)=\\sum_{i=0}^{d-1} \\alpha_i e_i \\otimes \\psi \\otimes e_i$, where each $\\alpha_i>0$ and $\\sum_{i=0}^{d-1} \\alpha_i^2=1$. We show that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22713","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.22713/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}