{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:FR5NZYHHGTAM2OBQXS6OXTCZEY","short_pith_number":"pith:FR5NZYHH","schema_version":"1.0","canonical_sha256":"2c7adce0e734c0cd3830bcbcebcc59263f922f3e0b07ce0e770063fc519e4ebd","source":{"kind":"arxiv","id":"1904.01502","version":1},"attestation_state":"computed","paper":{"title":"Quantum advantage with noisy shallow circuits in 3D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"David Gosset, Marco Tomamichel, Robert Koenig, Sergey Bravyi","submitted_at":"2019-04-02T15:42:58Z","abstract_excerpt":"Prior work has shown that there exists a relation problem which can be solved with certainty by a constant-depth quantum circuit composed of geometrically local gates in two dimensions, but cannot be solved with high probability by any classical constant depth circuit composed of bounded fan-in gates. Here we provide two extensions of this result. Firstly, we show that a separation in computational power persists even when the constant-depth quantum circuit is restricted to geometrically local gates in one dimension. The corresponding quantum algorithm is the simplest we know of which achieves"},"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":"1904.01502","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-02T15:42:58Z","cross_cats_sorted":[],"title_canon_sha256":"c24b8b460e737e33452e851d00bb60390dcb46f3ed7b6a8a7c18c35e15eb9d87","abstract_canon_sha256":"a4c8963deadeb9751c902eb47f2085df6b964c41e4167c759f55f29eed84fa70"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:17:56.509077Z","signature_b64":"sTeCUtXvqvZhGFWtIkt+7IiKI9+7cAwtdDlVVs/cNWhbWnBGHCBDl5fllNb7QPkss+jovB577O/bYq6ZD2m8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c7adce0e734c0cd3830bcbcebcc59263f922f3e0b07ce0e770063fc519e4ebd","last_reissued_at":"2026-07-05T01:17:56.508585Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:17:56.508585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum advantage with noisy shallow circuits in 3D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"David Gosset, Marco Tomamichel, Robert Koenig, Sergey Bravyi","submitted_at":"2019-04-02T15:42:58Z","abstract_excerpt":"Prior work has shown that there exists a relation problem which can be solved with certainty by a constant-depth quantum circuit composed of geometrically local gates in two dimensions, but cannot be solved with high probability by any classical constant depth circuit composed of bounded fan-in gates. Here we provide two extensions of this result. Firstly, we show that a separation in computational power persists even when the constant-depth quantum circuit is restricted to geometrically local gates in one dimension. The corresponding quantum algorithm is the simplest we know of which achieves"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.01502","kind":"arxiv","version":1},"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/1904.01502/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":"1904.01502","created_at":"2026-07-05T01:17:56.508644+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.01502v1","created_at":"2026-07-05T01:17:56.508644+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.01502","created_at":"2026-07-05T01:17:56.508644+00:00"},{"alias_kind":"pith_short_12","alias_value":"FR5NZYHHGTAM","created_at":"2026-07-05T01:17:56.508644+00:00"},{"alias_kind":"pith_short_16","alias_value":"FR5NZYHHGTAM2OBQ","created_at":"2026-07-05T01:17:56.508644+00:00"},{"alias_kind":"pith_short_8","alias_value":"FR5NZYHH","created_at":"2026-07-05T01:17:56.508644+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.26605","citing_title":"All pure entangled states can lead to fully nonlocal correlations","ref_index":15,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FR5NZYHHGTAM2OBQXS6OXTCZEY","json":"https://pith.science/pith/FR5NZYHHGTAM2OBQXS6OXTCZEY.json","graph_json":"https://pith.science/api/pith-number/FR5NZYHHGTAM2OBQXS6OXTCZEY/graph.json","events_json":"https://pith.science/api/pith-number/FR5NZYHHGTAM2OBQXS6OXTCZEY/events.json","paper":"https://pith.science/paper/FR5NZYHH"},"agent_actions":{"view_html":"https://pith.science/pith/FR5NZYHHGTAM2OBQXS6OXTCZEY","download_json":"https://pith.science/pith/FR5NZYHHGTAM2OBQXS6OXTCZEY.json","view_paper":"https://pith.science/paper/FR5NZYHH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.01502&json=true","fetch_graph":"https://pith.science/api/pith-number/FR5NZYHHGTAM2OBQXS6OXTCZEY/graph.json","fetch_events":"https://pith.science/api/pith-number/FR5NZYHHGTAM2OBQXS6OXTCZEY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FR5NZYHHGTAM2OBQXS6OXTCZEY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FR5NZYHHGTAM2OBQXS6OXTCZEY/action/storage_attestation","attest_author":"https://pith.science/pith/FR5NZYHHGTAM2OBQXS6OXTCZEY/action/author_attestation","sign_citation":"https://pith.science/pith/FR5NZYHHGTAM2OBQXS6OXTCZEY/action/citation_signature","submit_replication":"https://pith.science/pith/FR5NZYHHGTAM2OBQXS6OXTCZEY/action/replication_record"}},"created_at":"2026-07-05T01:17:56.508644+00:00","updated_at":"2026-07-05T01:17:56.508644+00:00"}