{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:FF2QM7C2TUMPQV3TFMLLEYB3ZA","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":"4e7676e27c0fd2b8203b1ddaf10a254166334b44f6276cd10f454aaa1f2c88e7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-03-11T18:58:12Z","title_canon_sha256":"336b3330b371c19ece9003099d80bb9db84d25719b80cb05a093b1be7755b98b"},"schema_version":"1.0","source":{"id":"2203.06174","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.06174","created_at":"2026-07-05T04:04:13Z"},{"alias_kind":"arxiv_version","alias_value":"2203.06174v1","created_at":"2026-07-05T04:04:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.06174","created_at":"2026-07-05T04:04:13Z"},{"alias_kind":"pith_short_12","alias_value":"FF2QM7C2TUMP","created_at":"2026-07-05T04:04:13Z"},{"alias_kind":"pith_short_16","alias_value":"FF2QM7C2TUMPQV3T","created_at":"2026-07-05T04:04:13Z"},{"alias_kind":"pith_short_8","alias_value":"FF2QM7C2","created_at":"2026-07-05T04:04:13Z"}],"graph_snapshots":[{"event_id":"sha256:27b292c99698ca4368f1e4b428da8a2a06a1711c5672a5fbaf29e89f00b8dc6d","target":"graph","created_at":"2026-07-05T04:04:13Z","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/2203.06174/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantifying the flatness of the objective-function landscape associated with unstructured parameterized quantum circuits is important for understanding the performance of variational algorithms utilizing a \"hardware-efficient ansatz\", particularly for ensuring that a prohibitively flat landscape -- a so-called \"barren plateau\" -- is avoided. For a model of such ans\\\"{a}tze, we relate the typical landscape flatness to a certain family of random walks, enabling us to derive a Monte Carlo algorithm for efficiently, classically estimating the landscape flatness for any architecture. The statistica","authors_text":"John Napp","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-03-11T18:58:12Z","title":"Quantifying the barren plateau phenomenon for a model of unstructured variational ans\\\"{a}tze"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.06174","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":"sha256:92ca49fcfa7097ae78885043628d25d445349e54a717697899d57dc2022382a2","target":"record","created_at":"2026-07-05T04:04:13Z","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":"4e7676e27c0fd2b8203b1ddaf10a254166334b44f6276cd10f454aaa1f2c88e7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-03-11T18:58:12Z","title_canon_sha256":"336b3330b371c19ece9003099d80bb9db84d25719b80cb05a093b1be7755b98b"},"schema_version":"1.0","source":{"id":"2203.06174","kind":"arxiv","version":1}},"canonical_sha256":"2975067c5a9d18f857732b16b2603bc80b415d0b8bad00b2796bfecaf668aec5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2975067c5a9d18f857732b16b2603bc80b415d0b8bad00b2796bfecaf668aec5","first_computed_at":"2026-07-05T04:04:13.395151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:04:13.395151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DlU7u/xqXTMb0sAtyw5K5pdGLDxsuRsa2v6RqKvmU6lOouxbYXSFc4IjlTzPnG77fyQO2qEdZgUiig7SiaSyAw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:04:13.395576Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.06174","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92ca49fcfa7097ae78885043628d25d445349e54a717697899d57dc2022382a2","sha256:27b292c99698ca4368f1e4b428da8a2a06a1711c5672a5fbaf29e89f00b8dc6d"],"state_sha256":"b1cbccfa1f72ae1e6a03b01ac4c04bc25bcd21cd4467aa70e96c1cc2d1f98706"}