{"paper":{"title":"Spin chirality across quantum state copies detects hidden entanglement","license":"http://creativecommons.org/licenses/by/4.0/","headline":"The moment difference between partial transpose and purity decomposes exactly as a chirality-chirality correlator of the scalar spin chirality operator.","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Franco Nori, Karol Bartkiewicz, Patrycja Tulewicz","submitted_at":"2026-05-14T07:59:40Z","abstract_excerpt":"Entanglement can hide in two fundamentally different ways. First, multi-copy correlations can carry information that no single-copy measurement on an unknown state is able to access. Second, bound entangled states possess a positive partial transpose, which makes them invisible to the Peres-Horodecki criterion and all moment inequalities that depend on it. Here we show that the moment difference between the partial transpose and purity decomposes exactly as a chirality-chirality correlator, where the relevant operator is the scalar spin chirality -- the same quantity that governs chiral spin l"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"the moment difference between the partial transpose and purity decomposes exactly as a chirality-chirality correlator, where the relevant operator is the scalar spin chirality","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the controlled-SWAP circuits implement the required multi-copy measurements with fidelity high enough that the extracted chirality correlator remains faithful to the ideal decomposition, especially under the marginal-noise construction.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The moment difference between partial transpose and purity equals a spin-chirality correlator, enabling a spectral classifier that detects bound entanglement with 99.9% recall at zero false positives.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The moment difference between partial transpose and purity decomposes exactly as a chirality-chirality correlator of the scalar spin chirality operator.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"2f83251c4e361c4a7bb09e49dcba6f5f993917be5ed5dd4254c0298586904ee8"},"source":{"id":"2605.14515","kind":"arxiv","version":1},"verdict":{"id":"80c749cf-ba5c-49d3-9aca-c14bd0ec0df4","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T01:51:12.701377Z","strongest_claim":"the moment difference between the partial transpose and purity decomposes exactly as a chirality-chirality correlator, where the relevant operator is the scalar spin chirality","one_line_summary":"The moment difference between partial transpose and purity equals a spin-chirality correlator, enabling a spectral classifier that detects bound entanglement with 99.9% recall at zero false positives.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the controlled-SWAP circuits implement the required multi-copy measurements with fidelity high enough that the extracted chirality correlator remains faithful to the ideal decomposition, especially under the marginal-noise construction.","pith_extraction_headline":"The moment difference between partial transpose and purity decomposes exactly as a chirality-chirality correlator of the scalar spin chirality operator."},"references":{"count":44,"sample":[{"doi":"","year":2009,"title":"Horodecki, R., Horodecki, P., Horodecki, M. & Horodecki, K. Quantum entanglement.Rev. Mod. Phys.81, 865–942 (2009)","work_id":"55b3431a-f6fc-4dd6-af45-670a68eff31d","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2020,"title":"Huang, H.-Y., Kueng, R. & Preskill, J. Predicting many properties of a quantum system from very few measurements.Nat. Phys.16, 1050–1057 (2020)","work_id":"b7c51e80-a197-4c70-bbc2-9cc3af02d296","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2020,"title":"Elben, A.et al.Mixed-state entanglement from local randomized measurements.Phys. Rev. Lett.125, 200501 (2020)","work_id":"1b319710-8489-4729-a990-581ed60e526d","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1996,"title":"Separability criterion for density matrices.Phys","work_id":"5aa13ea4-2303-4126-8353-10b7bf1d2442","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1996,"title":"Horodecki, M., Horodecki, P. & Horodecki, R. Separability of mixed states: necessary and sufficient conditions.Phys. Lett. A223, 1–8 (1996)","work_id":"87af7c73-1a98-4700-b32e-3e705fafb420","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":44,"snapshot_sha256":"150f0b373df69c3a8c4f47c8a5d072cda70a08b58136562a6be4372ba8d65206","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"2d94250d9f81167782e149346c6140b1371e3812eb055115800f3b7ad67cdd76"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}