{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:NDOIUZBABQC52C5WOQSU6QWX2G","short_pith_number":"pith:NDOIUZBA","schema_version":"1.0","canonical_sha256":"68dc8a64200c05dd0bb674254f42d7d18ef2cd33253b2b7a862270ff69d63ebd","source":{"kind":"arxiv","id":"1308.1504","version":1},"attestation_state":"computed","paper":{"title":"Quantum Gate Generation by T-Sampling Stabilization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.OC","authors_text":"Hector Bessa Silveira, Paulo Sergio Pereira da Silva, Pierre Rouchon","submitted_at":"2013-08-07T08:51:27Z","abstract_excerpt":"This paper considers right-invariant and controllable driftless quantum systems with state X(t) evolving on the unitary group U(n) and m inputs. The T-sampling stabilization problem is introduced and solved: given any initial condition X(0) any goal state Xg find a feedback law such that X(jT) converges to Xg as the integer j tends to infinity. The purpose is to generate arbitrary quantum gates corresponding to Xg. This is achieved by the tracking of T-periodic reference trajectories that pass by Xg using the framework of Coron's Return Method. The T-periodic reference trajectories are generat"},"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":"1308.1504","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-08-07T08:51:27Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"4ef79ecc16eef12f24d84e666f2b236a4cdc6b93871099c2562d8d06464c6d8d","abstract_canon_sha256":"4ce7521284f363d30c457c7807c1672ba9e04ec31d4db03a06373be003b25360"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:30.993174Z","signature_b64":"lwDbG/+lv2stIbT9loRo0wljh0mvWAC/sGg6UjoGypK5UtOvH1XgPgib6TklNLo3M59MgJYjr4WU9oxjkkSgCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68dc8a64200c05dd0bb674254f42d7d18ef2cd33253b2b7a862270ff69d63ebd","last_reissued_at":"2026-05-18T03:16:30.992543Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:30.992543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Gate Generation by T-Sampling Stabilization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.OC","authors_text":"Hector Bessa Silveira, Paulo Sergio Pereira da Silva, Pierre Rouchon","submitted_at":"2013-08-07T08:51:27Z","abstract_excerpt":"This paper considers right-invariant and controllable driftless quantum systems with state X(t) evolving on the unitary group U(n) and m inputs. The T-sampling stabilization problem is introduced and solved: given any initial condition X(0) any goal state Xg find a feedback law such that X(jT) converges to Xg as the integer j tends to infinity. The purpose is to generate arbitrary quantum gates corresponding to Xg. This is achieved by the tracking of T-periodic reference trajectories that pass by Xg using the framework of Coron's Return Method. The T-periodic reference trajectories are generat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1504","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":""},"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":"1308.1504","created_at":"2026-05-18T03:16:30.992662+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.1504v1","created_at":"2026-05-18T03:16:30.992662+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1504","created_at":"2026-05-18T03:16:30.992662+00:00"},{"alias_kind":"pith_short_12","alias_value":"NDOIUZBABQC5","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"NDOIUZBABQC52C5W","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"NDOIUZBA","created_at":"2026-05-18T12:27:52.871228+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/NDOIUZBABQC52C5WOQSU6QWX2G","json":"https://pith.science/pith/NDOIUZBABQC52C5WOQSU6QWX2G.json","graph_json":"https://pith.science/api/pith-number/NDOIUZBABQC52C5WOQSU6QWX2G/graph.json","events_json":"https://pith.science/api/pith-number/NDOIUZBABQC52C5WOQSU6QWX2G/events.json","paper":"https://pith.science/paper/NDOIUZBA"},"agent_actions":{"view_html":"https://pith.science/pith/NDOIUZBABQC52C5WOQSU6QWX2G","download_json":"https://pith.science/pith/NDOIUZBABQC52C5WOQSU6QWX2G.json","view_paper":"https://pith.science/paper/NDOIUZBA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.1504&json=true","fetch_graph":"https://pith.science/api/pith-number/NDOIUZBABQC52C5WOQSU6QWX2G/graph.json","fetch_events":"https://pith.science/api/pith-number/NDOIUZBABQC52C5WOQSU6QWX2G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NDOIUZBABQC52C5WOQSU6QWX2G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NDOIUZBABQC52C5WOQSU6QWX2G/action/storage_attestation","attest_author":"https://pith.science/pith/NDOIUZBABQC52C5WOQSU6QWX2G/action/author_attestation","sign_citation":"https://pith.science/pith/NDOIUZBABQC52C5WOQSU6QWX2G/action/citation_signature","submit_replication":"https://pith.science/pith/NDOIUZBABQC52C5WOQSU6QWX2G/action/replication_record"}},"created_at":"2026-05-18T03:16:30.992662+00:00","updated_at":"2026-05-18T03:16:30.992662+00:00"}