{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ECEVW5XONAU3PXL7YC25FBOTC6","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":"e440eaf21316553ab6a2c9163ebf1423ef5a2b7107de344d5c55ffdfe149c9f9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-05T18:36:14Z","title_canon_sha256":"e020c1e4ad9006b01914826f498d62a231e8a6c89bf5843a12cb94fd7f5150af"},"schema_version":"1.0","source":{"id":"2412.04414","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.04414","created_at":"2026-07-05T11:57:33Z"},{"alias_kind":"arxiv_version","alias_value":"2412.04414v2","created_at":"2026-07-05T11:57:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.04414","created_at":"2026-07-05T11:57:33Z"},{"alias_kind":"pith_short_12","alias_value":"ECEVW5XONAU3","created_at":"2026-07-05T11:57:33Z"},{"alias_kind":"pith_short_16","alias_value":"ECEVW5XONAU3PXL7","created_at":"2026-07-05T11:57:33Z"},{"alias_kind":"pith_short_8","alias_value":"ECEVW5XO","created_at":"2026-07-05T11:57:33Z"}],"graph_snapshots":[{"event_id":"sha256:c8eea7707cfbbd3f29dc83fd21175b2a1597df6044d441e65a7739deb7b00a79","target":"graph","created_at":"2026-07-05T11:57:33Z","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/2412.04414/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Unitary $k$-designs are distributions of unitary gates that match the Haar distribution up to its $k$-th statistical moment. They are a crucial resource for randomized quantum protocols. However, their implementation on encoded logical qubits is nontrivial due to the need for magic gates, which can require a large resource overhead. In this work, we propose an efficient approach to generate unitary designs for encoded qubits in surface codes by applying local unitary rotations (\"coherent errors\") on the physical qubits followed by syndrome measurement and error correction. We prove that under ","authors_text":"Eric Huang, Matteo Ippoliti, Michael J. Gullans, Vedika Khemani, Zihan Cheng","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-05T18:36:14Z","title":"Emergent unitary designs for encoded qubits from coherent errors and syndrome measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.04414","kind":"arxiv","version":2},"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":"sha256:79eb03776cfa7e6e8ec558de8fa40f0a7fd6b74c80d03da2b1bbb51c8fee31c4","target":"record","created_at":"2026-07-05T11:57:33Z","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":"e440eaf21316553ab6a2c9163ebf1423ef5a2b7107de344d5c55ffdfe149c9f9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-05T18:36:14Z","title_canon_sha256":"e020c1e4ad9006b01914826f498d62a231e8a6c89bf5843a12cb94fd7f5150af"},"schema_version":"1.0","source":{"id":"2412.04414","kind":"arxiv","version":2}},"canonical_sha256":"20895b76ee6829b7dd7fc0b5d285d317abcb7a031c31acd59a50a40ef4bd8377","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20895b76ee6829b7dd7fc0b5d285d317abcb7a031c31acd59a50a40ef4bd8377","first_computed_at":"2026-07-05T11:57:33.226373Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:57:33.226373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J0SsdY9i9GzaNrm4uCN7GYNuB/d8ox0S08zNmY1ePiPWCoI4bYxBfO2FkxoLKYg4wGweOlL9kGOt7+udPD3qDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:57:33.226797Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.04414","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79eb03776cfa7e6e8ec558de8fa40f0a7fd6b74c80d03da2b1bbb51c8fee31c4","sha256:c8eea7707cfbbd3f29dc83fd21175b2a1597df6044d441e65a7739deb7b00a79"],"state_sha256":"91d1762bac3d31254e77b4f7aa1c8e76398765401b352cdc7892bcdc6697848b"}