{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UECOGF2LVUAAQIYVIN5PLG4U57","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"43d00dfe1b7b701e87c796b2358b66732a1fcea8faf80ea98ee6c44dbec22773","cross_cats_sorted":["cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-23T18:01:38Z","title_canon_sha256":"92964fadcff3ac33982fa40f7e01f2f3dc85d4c35df17ba415fa4a3c0e083d62"},"schema_version":"1.0","source":{"id":"2505.18265","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.18265","created_at":"2026-07-05T11:08:43Z"},{"alias_kind":"arxiv_version","alias_value":"2505.18265v1","created_at":"2026-07-05T11:08:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.18265","created_at":"2026-07-05T11:08:43Z"},{"alias_kind":"pith_short_12","alias_value":"UECOGF2LVUAA","created_at":"2026-07-05T11:08:43Z"},{"alias_kind":"pith_short_16","alias_value":"UECOGF2LVUAAQIYV","created_at":"2026-07-05T11:08:43Z"},{"alias_kind":"pith_short_8","alias_value":"UECOGF2L","created_at":"2026-07-05T11:08:43Z"}],"graph_snapshots":[{"event_id":"sha256:acdb730d5eaa14590b14d9f15998cfcc70714b6388dd3a7e031f1b607466e5de","target":"graph","created_at":"2026-07-05T11:08:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.18265/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose protocols to implement non-Clifford logical gates between stabilizer codes by entangling into a non-Abelian topological order as an intermediate step. Generalizing previous approaches, we provide a framework that generates a large class of non-Clifford and non-diagonal logical gates between qudit surface codes by gauging the topological symmetry of symmetry-enriched topological orders. As our main example, we concretely detail a protocol that utilizes the quantum double of $S_3$ to generate a controlled-charge conjugation ($C\\mathcal{C}$) gate between a qubit and qutrit surface code","authors_text":"Brenden Roberts, Rohith Sajith, Varun Menon, Yabo Li, Zijian Song","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-23T18:01:38Z","title":"Non-Clifford gates between stabilizer codes via non-Abelian topological order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.18265","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:bae020f3be1b1de91e3d1654c6602c4f7325ddda832626bccf0cc962e4c7a250","target":"record","created_at":"2026-07-05T11:08:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"43d00dfe1b7b701e87c796b2358b66732a1fcea8faf80ea98ee6c44dbec22773","cross_cats_sorted":["cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-23T18:01:38Z","title_canon_sha256":"92964fadcff3ac33982fa40f7e01f2f3dc85d4c35df17ba415fa4a3c0e083d62"},"schema_version":"1.0","source":{"id":"2505.18265","kind":"arxiv","version":1}},"canonical_sha256":"a104e3174bad00082315437af59b94efe92eb83e8f26066f574cacab1c58a5ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a104e3174bad00082315437af59b94efe92eb83e8f26066f574cacab1c58a5ee","first_computed_at":"2026-07-05T11:08:43.776647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:08:43.776647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JB2M2v6wfUdqIcnscs5sVulmioJgUc/rR6nhpjS0fcgtphSGwiXd4A81evmfXGxI1zfG2i2UQG0wUawSJ1p1Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:08:43.777131Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.18265","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bae020f3be1b1de91e3d1654c6602c4f7325ddda832626bccf0cc962e4c7a250","sha256:acdb730d5eaa14590b14d9f15998cfcc70714b6388dd3a7e031f1b607466e5de"],"state_sha256":"481619267c9701a749dec1bc1e37ac5846d603b58211fcf3cca82379d8a2a1ff"}