{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HP3AGC4GTUVSXH2KDLJMTDVXLL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8eef5aa59ffb7dee00d5b67ed55464bc10107f42ed0bdacd27f9731ba59f64aa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-01T17:54:33Z","title_canon_sha256":"af9436b68c52038cb7d7a0868f7a534eac47b1e8eb3160f86db0636fed460d0c"},"schema_version":"1.0","source":{"id":"2607.01217","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.01217","created_at":"2026-07-02T01:18:33Z"},{"alias_kind":"arxiv_version","alias_value":"2607.01217v1","created_at":"2026-07-02T01:18:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01217","created_at":"2026-07-02T01:18:33Z"},{"alias_kind":"pith_short_12","alias_value":"HP3AGC4GTUVS","created_at":"2026-07-02T01:18:33Z"},{"alias_kind":"pith_short_16","alias_value":"HP3AGC4GTUVSXH2K","created_at":"2026-07-02T01:18:33Z"},{"alias_kind":"pith_short_8","alias_value":"HP3AGC4G","created_at":"2026-07-02T01:18:33Z"}],"graph_snapshots":[{"event_id":"sha256:febfb4bc272c2beb7cccd7874686b6ba92bc80d0db40d570e1b95b74c5f2ed79","target":"graph","created_at":"2026-07-02T01:18:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.01217/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we perform an analytical and numerical analysis of quantum landscapes for controlling special four-level quantum systems for which we prove that the null control is a five-order trap: a $V-V$ system and an anharmonic system. As a control goal, an observable optimization is considered. The rigorous theoretical analysis is followed by the numerical experiments based on the GRadient Ascent Pulse Engineering (GRAPE) algorithm and Gradient Projection Method (GPM), performed to investigate the behavior of the efficiency of optimization for unconstrained (using GRAPE) and constrained (u","authors_text":"Alexander Pechen, Boris Volkov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-01T17:54:33Z","title":"Diverse efficiency of observable optimization for four-level quantum systems with higher-order traps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01217","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:cf2c5e9a3012ac1f13f3d3e2ae330a15188d20218b2783a9701f7de4443c4b94","target":"record","created_at":"2026-07-02T01:18:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8eef5aa59ffb7dee00d5b67ed55464bc10107f42ed0bdacd27f9731ba59f64aa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-01T17:54:33Z","title_canon_sha256":"af9436b68c52038cb7d7a0868f7a534eac47b1e8eb3160f86db0636fed460d0c"},"schema_version":"1.0","source":{"id":"2607.01217","kind":"arxiv","version":1}},"canonical_sha256":"3bf6030b869d2b2b9f4a1ad2c98eb75af187958a773b5e094135ff08766cc653","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bf6030b869d2b2b9f4a1ad2c98eb75af187958a773b5e094135ff08766cc653","first_computed_at":"2026-07-02T01:18:33.008435Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-02T01:18:33.008435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wHuJOm6PhAPc9r9/P8540WyKV85rrwfaKkCCN8r57uhmkXQIZfUs3YQV/6wPWfzDY2HhayzSjxsHvYbots+XAA==","signature_status":"signed_v1","signed_at":"2026-07-02T01:18:33.008824Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.01217","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf2c5e9a3012ac1f13f3d3e2ae330a15188d20218b2783a9701f7de4443c4b94","sha256:febfb4bc272c2beb7cccd7874686b6ba92bc80d0db40d570e1b95b74c5f2ed79"],"state_sha256":"c2a2cc2f801ae3f1780068efaf52091e1b857bed70bc8dc5a42a137640dd6ee3"}