{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:2E766NU36ZB6SMP7H2XCOBVQVP","short_pith_number":"pith:2E766NU3","schema_version":"1.0","canonical_sha256":"d13fef369bf643e931ff3eae2706b0abfba29cfbca6bca5c45101e106c215232","source":{"kind":"arxiv","id":"0904.2793","version":1},"attestation_state":"computed","paper":{"title":"General methods to control right-invariant systems on compact Lie groups and multilevel quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Domenico D'Alessandro","submitted_at":"2009-04-17T23:02:02Z","abstract_excerpt":"For a right-invariant system on a compact Lie group G, I present two methods to design a control to drive the state from the identity to any element of the group. The first method, under appropriate assumptions, achieves exact control to the target but requires estimation of the `size' of a neighborhood of the identity in G. The second method, does not involve any mathematical difficulty, and obtains control to a desired target with arbitrary accuracy. A third method is then given combining the main ideas of the previous methods. This is also very simple in its formulation and turns out to be "},"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":"0904.2793","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-04-17T23:02:02Z","cross_cats_sorted":[],"title_canon_sha256":"ef3a00c7e6ba1f579939b15fd0b876a9fd422ee3f240d0cc95b024e941f9da62","abstract_canon_sha256":"67ca0963184bd56faba2f2b13ad71549cf1f79884ebbf1f9d1029167a7788a8b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:59.329003Z","signature_b64":"t7zh8QRd2xWu6PzDIPwP0ltw1qYkmOu9xgMwirQBt3lUTp4AOXKLhAB6mCtbEafPKdReG9Vmw+zncwPp5jpfAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d13fef369bf643e931ff3eae2706b0abfba29cfbca6bca5c45101e106c215232","last_reissued_at":"2026-05-18T02:13:59.328232Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:59.328232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"General methods to control right-invariant systems on compact Lie groups and multilevel quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Domenico D'Alessandro","submitted_at":"2009-04-17T23:02:02Z","abstract_excerpt":"For a right-invariant system on a compact Lie group G, I present two methods to design a control to drive the state from the identity to any element of the group. The first method, under appropriate assumptions, achieves exact control to the target but requires estimation of the `size' of a neighborhood of the identity in G. The second method, does not involve any mathematical difficulty, and obtains control to a desired target with arbitrary accuracy. A third method is then given combining the main ideas of the previous methods. This is also very simple in its formulation and turns out to be "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.2793","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":"0904.2793","created_at":"2026-05-18T02:13:59.328370+00:00"},{"alias_kind":"arxiv_version","alias_value":"0904.2793v1","created_at":"2026-05-18T02:13:59.328370+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.2793","created_at":"2026-05-18T02:13:59.328370+00:00"},{"alias_kind":"pith_short_12","alias_value":"2E766NU36ZB6","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"2E766NU36ZB6SMP7","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"2E766NU3","created_at":"2026-05-18T12:25:58.018023+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/2E766NU36ZB6SMP7H2XCOBVQVP","json":"https://pith.science/pith/2E766NU36ZB6SMP7H2XCOBVQVP.json","graph_json":"https://pith.science/api/pith-number/2E766NU36ZB6SMP7H2XCOBVQVP/graph.json","events_json":"https://pith.science/api/pith-number/2E766NU36ZB6SMP7H2XCOBVQVP/events.json","paper":"https://pith.science/paper/2E766NU3"},"agent_actions":{"view_html":"https://pith.science/pith/2E766NU36ZB6SMP7H2XCOBVQVP","download_json":"https://pith.science/pith/2E766NU36ZB6SMP7H2XCOBVQVP.json","view_paper":"https://pith.science/paper/2E766NU3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0904.2793&json=true","fetch_graph":"https://pith.science/api/pith-number/2E766NU36ZB6SMP7H2XCOBVQVP/graph.json","fetch_events":"https://pith.science/api/pith-number/2E766NU36ZB6SMP7H2XCOBVQVP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2E766NU36ZB6SMP7H2XCOBVQVP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2E766NU36ZB6SMP7H2XCOBVQVP/action/storage_attestation","attest_author":"https://pith.science/pith/2E766NU36ZB6SMP7H2XCOBVQVP/action/author_attestation","sign_citation":"https://pith.science/pith/2E766NU36ZB6SMP7H2XCOBVQVP/action/citation_signature","submit_replication":"https://pith.science/pith/2E766NU36ZB6SMP7H2XCOBVQVP/action/replication_record"}},"created_at":"2026-05-18T02:13:59.328370+00:00","updated_at":"2026-05-18T02:13:59.328370+00:00"}