{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:CVRNPH3EGL5ZCHZF7P2E2B4PWE","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":"c0173baa12a17664f4a825807c487ec381ffd1ce0f8a120915222df8d9fa1a41","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-04-12T17:11:40Z","title_canon_sha256":"3fcbbd2afe6db13f560f9c7e65d6d7522350d9cef31de1a40b3069235e150ee4"},"schema_version":"1.0","source":{"id":"2204.05955","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2204.05955","created_at":"2026-07-05T05:07:41Z"},{"alias_kind":"arxiv_version","alias_value":"2204.05955v2","created_at":"2026-07-05T05:07:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.05955","created_at":"2026-07-05T05:07:41Z"},{"alias_kind":"pith_short_12","alias_value":"CVRNPH3EGL5Z","created_at":"2026-07-05T05:07:41Z"},{"alias_kind":"pith_short_16","alias_value":"CVRNPH3EGL5ZCHZF","created_at":"2026-07-05T05:07:41Z"},{"alias_kind":"pith_short_8","alias_value":"CVRNPH3E","created_at":"2026-07-05T05:07:41Z"}],"graph_snapshots":[{"event_id":"sha256:912054c3b612da060d8208c0e6dac0004deccca4b32a3db79007bff21d43a0c5","target":"graph","created_at":"2026-07-05T05:07:41Z","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/2204.05955/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Under suitable assumptions, the algorithms in [Lin, Tong, Quantum 2020] can estimate the ground state energy and prepare the ground state of a quantum Hamiltonian with near-optimal query complexities. However, this is based on a block encoding input model of the Hamiltonian, whose implementation is known to require a large resource overhead. We develop a tool called quantum eigenvalue transformation of unitary matrices with real polynomials (QET-U), which uses a controlled Hamiltonian evolution as the input model, a single ancilla qubit and no multi-qubit control operations, and is thus suitab","authors_text":"Lin Lin, Yulong Dong, Yu Tong","cross_cats":["cs.NA","math.NA","physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-04-12T17:11:40Z","title":"Ground state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.05955","kind":"arxiv","version":2},"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":"sha256:6c4be7087730c0a31b6bf68f05be0dbf26de1e77b4d4a3e0bf1ff7a9171a9600","target":"record","created_at":"2026-07-05T05:07:41Z","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":"c0173baa12a17664f4a825807c487ec381ffd1ce0f8a120915222df8d9fa1a41","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-04-12T17:11:40Z","title_canon_sha256":"3fcbbd2afe6db13f560f9c7e65d6d7522350d9cef31de1a40b3069235e150ee4"},"schema_version":"1.0","source":{"id":"2204.05955","kind":"arxiv","version":2}},"canonical_sha256":"1562d79f6432fb911f25fbf44d078fb1232c8034bcf8c8c942208476c667d2d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1562d79f6432fb911f25fbf44d078fb1232c8034bcf8c8c942208476c667d2d3","first_computed_at":"2026-07-05T05:07:41.438387Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:07:41.438387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x1m8BQ4yfFBqaAOpiXkAfDM+T5TpYkuMBB8y35MK/8OjDGudA9oXYfP1kwWougQLVgHYYz00PT7smrYfiuWkDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:07:41.438786Z","signed_message":"canonical_sha256_bytes"},"source_id":"2204.05955","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c4be7087730c0a31b6bf68f05be0dbf26de1e77b4d4a3e0bf1ff7a9171a9600","sha256:912054c3b612da060d8208c0e6dac0004deccca4b32a3db79007bff21d43a0c5"],"state_sha256":"08801adb4a3a31d775cddd0013e2f5e9ec0c44e65111389e67a8c1f49997dc34"}