{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:Y43QVPBLPO23NSEBI2O7ASRQZB","short_pith_number":"pith:Y43QVPBL","schema_version":"1.0","canonical_sha256":"c7370abc2b7bb5b6c881469df04a30c844d9f721e9e0ba6f35e8b8ac2874bd7f","source":{"kind":"arxiv","id":"2007.14384","version":6},"attestation_state":"computed","paper":{"title":"Noise-Induced Barren Plateaus in Variational Quantum Algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"quant-ph","authors_text":"Akira Sone, Enrico Fontana, Kunal Sharma, Lukasz Cincio, M. Cerezo, Patrick J. Coles, Samson Wang","submitted_at":"2020-07-28T17:52:21Z","abstract_excerpt":"Variational Quantum Algorithms (VQAs) may be a path to quantum advantage on Noisy Intermediate-Scale Quantum (NISQ) computers. A natural question is whether noise on NISQ devices places fundamental limitations on VQA performance. We rigorously prove a serious limitation for noisy VQAs, in that the noise causes the training landscape to have a barren plateau (i.e., vanishing gradient). Specifically, for the local Pauli noise considered, we prove that the gradient vanishes exponentially in the number of qubits $n$ if the depth of the ansatz grows linearly with $n$. These noise-induced barren pla"},"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":"2007.14384","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-07-28T17:52:21Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"f80cface26a34b0375fb22162c8b9a40c969adc027dc9e7c1d6699126778714b","abstract_canon_sha256":"b0f5331534343fca5f690fc5ecf9de3b45fa7028a0668ca874ae86f980ccc2bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:51:08.342382Z","signature_b64":"wQlynUEAxPHcW8escBZ/2Nczkove8FZm+q1HO8srMP2Ceogl46xVYv0SHZ5+H9WC4RHDS+4vRIkBTF8rsaaYCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7370abc2b7bb5b6c881469df04a30c844d9f721e9e0ba6f35e8b8ac2874bd7f","last_reissued_at":"2026-07-05T07:51:08.341896Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:51:08.341896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Noise-Induced Barren Plateaus in Variational Quantum Algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"quant-ph","authors_text":"Akira Sone, Enrico Fontana, Kunal Sharma, Lukasz Cincio, M. Cerezo, Patrick J. Coles, Samson Wang","submitted_at":"2020-07-28T17:52:21Z","abstract_excerpt":"Variational Quantum Algorithms (VQAs) may be a path to quantum advantage on Noisy Intermediate-Scale Quantum (NISQ) computers. A natural question is whether noise on NISQ devices places fundamental limitations on VQA performance. We rigorously prove a serious limitation for noisy VQAs, in that the noise causes the training landscape to have a barren plateau (i.e., vanishing gradient). Specifically, for the local Pauli noise considered, we prove that the gradient vanishes exponentially in the number of qubits $n$ if the depth of the ansatz grows linearly with $n$. These noise-induced barren pla"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.14384","kind":"arxiv","version":6},"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/2007.14384/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":"2007.14384","created_at":"2026-07-05T07:51:08.341957+00:00"},{"alias_kind":"arxiv_version","alias_value":"2007.14384v6","created_at":"2026-07-05T07:51:08.341957+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.14384","created_at":"2026-07-05T07:51:08.341957+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y43QVPBLPO23","created_at":"2026-07-05T07:51:08.341957+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y43QVPBLPO23NSEB","created_at":"2026-07-05T07:51:08.341957+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y43QVPBL","created_at":"2026-07-05T07:51:08.341957+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2306.02620","citing_title":"Feasibility of performing quantum chemistry calculations on quantum computers","ref_index":36,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Y43QVPBLPO23NSEBI2O7ASRQZB","json":"https://pith.science/pith/Y43QVPBLPO23NSEBI2O7ASRQZB.json","graph_json":"https://pith.science/api/pith-number/Y43QVPBLPO23NSEBI2O7ASRQZB/graph.json","events_json":"https://pith.science/api/pith-number/Y43QVPBLPO23NSEBI2O7ASRQZB/events.json","paper":"https://pith.science/paper/Y43QVPBL"},"agent_actions":{"view_html":"https://pith.science/pith/Y43QVPBLPO23NSEBI2O7ASRQZB","download_json":"https://pith.science/pith/Y43QVPBLPO23NSEBI2O7ASRQZB.json","view_paper":"https://pith.science/paper/Y43QVPBL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2007.14384&json=true","fetch_graph":"https://pith.science/api/pith-number/Y43QVPBLPO23NSEBI2O7ASRQZB/graph.json","fetch_events":"https://pith.science/api/pith-number/Y43QVPBLPO23NSEBI2O7ASRQZB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y43QVPBLPO23NSEBI2O7ASRQZB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y43QVPBLPO23NSEBI2O7ASRQZB/action/storage_attestation","attest_author":"https://pith.science/pith/Y43QVPBLPO23NSEBI2O7ASRQZB/action/author_attestation","sign_citation":"https://pith.science/pith/Y43QVPBLPO23NSEBI2O7ASRQZB/action/citation_signature","submit_replication":"https://pith.science/pith/Y43QVPBLPO23NSEBI2O7ASRQZB/action/replication_record"}},"created_at":"2026-07-05T07:51:08.341957+00:00","updated_at":"2026-07-05T07:51:08.341957+00:00"}