{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:6UOTSUIZNKMIWKGXTNECB4GM2V","short_pith_number":"pith:6UOTSUIZ","schema_version":"1.0","canonical_sha256":"f51d3951196a988b28d79b4820f0ccd543d9f1ab3c4a0c4591a23dde6447545d","source":{"kind":"arxiv","id":"2507.06344","version":3},"attestation_state":"computed","paper":{"title":"Gradient Scalability and Taylor Surrogation of Quantum Cost Landscapes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","cs.LG"],"primary_cat":"quant-ph","authors_text":"Aurelien Lucchi, Francesco Scala, Francesco Tacchino, Sabri Meyer","submitted_at":"2025-07-08T19:10:46Z","abstract_excerpt":"Variational Quantum Algorithms are promising candidates for near-term quantum computing, yet they face scalability challenges due to barren plateaus, where gradients vanish exponentially relative to system size. Recent conjectures suggest that avoiding these plateaus might inherently lead to classical simulability, thereby limiting the opportunities for quantum advantage. In this work, we advance the theoretical understanding of the relationship between gradient scalability at initialization and the computational complexity of variational quantum algorithms. We first present the Taylor surroga"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2507.06344","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-08T19:10:46Z","cross_cats_sorted":["cs.CC","cs.LG"],"title_canon_sha256":"b5102e62372a055ae4514b96c969d311ca35d99fa1b9d8281bb9b2e8aa9ff357","abstract_canon_sha256":"6726145ffc70fe8b3f24d57a0e3a8644504ed30c1ae864e59434db88a72875f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:05:06.567165Z","signature_b64":"TxFGdmciBqFphjZW+lKHusIuMmvREAEVA3j8FYiOauFoL0FMyQokuzM8PNw3Ido1bIP8x5gVwC/Lz1xqD3GjAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f51d3951196a988b28d79b4820f0ccd543d9f1ab3c4a0c4591a23dde6447545d","last_reissued_at":"2026-05-21T01:05:06.566379Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:05:06.566379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gradient Scalability and Taylor Surrogation of Quantum Cost Landscapes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","cs.LG"],"primary_cat":"quant-ph","authors_text":"Aurelien Lucchi, Francesco Scala, Francesco Tacchino, Sabri Meyer","submitted_at":"2025-07-08T19:10:46Z","abstract_excerpt":"Variational Quantum Algorithms are promising candidates for near-term quantum computing, yet they face scalability challenges due to barren plateaus, where gradients vanish exponentially relative to system size. Recent conjectures suggest that avoiding these plateaus might inherently lead to classical simulability, thereby limiting the opportunities for quantum advantage. In this work, we advance the theoretical understanding of the relationship between gradient scalability at initialization and the computational complexity of variational quantum algorithms. We first present the Taylor surroga"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.06344","kind":"arxiv","version":3},"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/2507.06344/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2507.06344","created_at":"2026-05-21T01:05:06.566536+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.06344v3","created_at":"2026-05-21T01:05:06.566536+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.06344","created_at":"2026-05-21T01:05:06.566536+00:00"},{"alias_kind":"pith_short_12","alias_value":"6UOTSUIZNKMI","created_at":"2026-05-21T01:05:06.566536+00:00"},{"alias_kind":"pith_short_16","alias_value":"6UOTSUIZNKMIWKGX","created_at":"2026-05-21T01:05:06.566536+00:00"},{"alias_kind":"pith_short_8","alias_value":"6UOTSUIZ","created_at":"2026-05-21T01:05:06.566536+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6UOTSUIZNKMIWKGXTNECB4GM2V","json":"https://pith.science/pith/6UOTSUIZNKMIWKGXTNECB4GM2V.json","graph_json":"https://pith.science/api/pith-number/6UOTSUIZNKMIWKGXTNECB4GM2V/graph.json","events_json":"https://pith.science/api/pith-number/6UOTSUIZNKMIWKGXTNECB4GM2V/events.json","paper":"https://pith.science/paper/6UOTSUIZ"},"agent_actions":{"view_html":"https://pith.science/pith/6UOTSUIZNKMIWKGXTNECB4GM2V","download_json":"https://pith.science/pith/6UOTSUIZNKMIWKGXTNECB4GM2V.json","view_paper":"https://pith.science/paper/6UOTSUIZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.06344&json=true","fetch_graph":"https://pith.science/api/pith-number/6UOTSUIZNKMIWKGXTNECB4GM2V/graph.json","fetch_events":"https://pith.science/api/pith-number/6UOTSUIZNKMIWKGXTNECB4GM2V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6UOTSUIZNKMIWKGXTNECB4GM2V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6UOTSUIZNKMIWKGXTNECB4GM2V/action/storage_attestation","attest_author":"https://pith.science/pith/6UOTSUIZNKMIWKGXTNECB4GM2V/action/author_attestation","sign_citation":"https://pith.science/pith/6UOTSUIZNKMIWKGXTNECB4GM2V/action/citation_signature","submit_replication":"https://pith.science/pith/6UOTSUIZNKMIWKGXTNECB4GM2V/action/replication_record"}},"created_at":"2026-05-21T01:05:06.566536+00:00","updated_at":"2026-05-21T01:05:06.566536+00:00"}