{"paper":{"title":"A five-qubit 1-resistant graph state and stabilizer marginal certificates","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Wanchen Zhang, Xiande Zhang, Zicheng Han","submitted_at":"2026-06-07T10:34:22Z","abstract_excerpt":"We study particle-loss resistant entanglement within the framework of stabilizer and graph states. A pure state is \\(m\\)-resistant if it remains entangled after the loss of any \\(m\\) particles and becomes fully separable after the loss of any \\(m+1\\) particles. The smallest previously unresolved qubit case was the existence of a five-qubit \\(1\\)-resistant pure state, which is resolved here by the five-cycle graph state \\(\\ket{C_5}\\). A stabilizer-subgroup method is also developed for verifying \\(m\\)-resistance in graph states, using local stabilizers to certify full separability and exact nega"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.08561","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/2606.08561/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"}