{"paper":{"title":"Hierarchical Fusion Method for Scalable Quantum Eigenstate Preparation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A fusion of adiabatic preconditioning and the Rodeo Algorithm enables scalable eigenstate preparation in large quantum systems.","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Dean Lee, Katharine L. C. Hunt, Matja\\v{z} Kebri\\v{c}, Matthew Patkowski, Onat Ayyildiz","submitted_at":"2025-10-21T19:43:07Z","abstract_excerpt":"Robust and efficient eigenstate preparation is a central challenge in quantum simulation. The Rodeo Algorithm (RA) offers exponential convergence to a target eigenstate but suffers from poor performance when the initial state has low overlap with the desired eigenstate, hindering the applicability of the original algorithm to larger systems. In this work, we introduce a fusion method that preconditions the RA state by an adiabatic ramp to overcome this limitation. By incrementally building up large systems from exactly solvable subsystems and using adiabatic preconditioning to enhance intermed"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"By incrementally building up large systems from exactly solvable subsystems and using adiabatic preconditioning to enhance intermediate state overlaps, we ensure that the RA retains its exponential convergence even in large-scale systems.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The adiabatic ramp applied to intermediate subsystems produces sufficiently high overlap with the target eigenstate so that the subsequent Rodeo Algorithm step retains its exponential convergence property without requiring prohibitive resources.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A new fusion of adiabatic preconditioning and the Rodeo Algorithm, built hierarchically from solvable subsystems, enables robust exponential convergence for eigenstate preparation in the spin-1/2 XX model at high precision.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A fusion of adiabatic preconditioning and the Rodeo Algorithm enables scalable eigenstate preparation in large quantum systems.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"2353929ce338dde6855488915699d6e68e3e31dc842117cc79317dbd23564a59"},"source":{"id":"2510.19039","kind":"arxiv","version":3},"verdict":{"id":"061f73d6-5a46-4431-8448-3aaf9d036fc9","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-18T04:15:15.491779Z","strongest_claim":"By incrementally building up large systems from exactly solvable subsystems and using adiabatic preconditioning to enhance intermediate state overlaps, we ensure that the RA retains its exponential convergence even in large-scale systems.","one_line_summary":"A new fusion of adiabatic preconditioning and the Rodeo Algorithm, built hierarchically from solvable subsystems, enables robust exponential convergence for eigenstate preparation in the spin-1/2 XX model at high precision.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The adiabatic ramp applied to intermediate subsystems produces sufficiently high overlap with the target eigenstate so that the subsequent Rodeo Algorithm step retains its exponential convergence property without requiring prohibitive resources.","pith_extraction_headline":"A fusion of adiabatic preconditioning and the Rodeo Algorithm enables scalable eigenstate preparation in large quantum systems."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2510.19039/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":30,"sample":[{"doi":"","year":2021,"title":"K. Choi, D. Lee, J. Bonitati, Z. R. Qian, and J. Watkins, Phys. Rev. Lett.127, 040505 (2021)","work_id":"460b3308-c8c4-4ef1-9d83-485b9631a266","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1994,"title":"E. Dagotto, Rev. Mod. Phys.66, 763 (1994)","work_id":"166969b4-0065-435a-b241-1f36c1bdfc20","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2010,"title":"A. W. Sandvik, inAIP Conference Proceedings, Vol. 1297 (American Institute of Physics, 2010) pp. 135–338","work_id":"536d02bd-5b00-46ca-8fe7-559e57c53d43","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1996,"title":"A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys.68, 13 (1996)","work_id":"ea873603-d3c8-4578-8ada-522dc13be6bf","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2005,"title":"M. Troyer and U.-J. Wiese, Phys. Rev. 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