{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"9adedeeed305f15fb31b84ada9515a9fde60af09c5502a64285214bb4260bcbf","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":["ai:gpt-5.5"],"kind":"seed"},"parents":["a79b09947933ab00507b5c143462d9cfb9b435af311fe0f99293ca1f836a3dc8","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"421e300477d8e3d2e9d4f38339a61f2451ae58ab3fcc6d330c0e2a04821e690b","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":["ai:gpt-5.5"],"external_id":"amo.hubbard-simulation.certified-error-budget","kind":"well-posed","literature_status":"open","n":"2","parents":[],"plain":"Once a simulator goes where computers cannot follow, nobody can check its answers by calculation. The task is to bound its errors using only independent calibrations.","posed_since":"","precise":"Choose a point $(U/t, \\delta, T/t)$ where unbiased numerical methods lose control (for example $U/t = 8, \\delta = 0.1, T/t < 0.1$). Using Hamiltonian learning of $t, t', U$ and harmonic confinement, entropy thermometry, and stability bounds, give a certified error bar on the nearest-neighbour spin correlator $C(1,0)$ and on the density. Answer: an error budget with all sources listed and a total below $5\\%$.","problem_ref":"a79b09947933ab00507b5c143462d9cfb9b435af311fe0f99293ca1f836a3dc8","references":"","settled_by":"A published error budget combining in-situ Hamiltonian calibration with a proof or numerical bound on how parameter errors propagate to local observables.","status_note":"","title":"Certified accuracy of a Hubbard simulator where numerics fail","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"68e84061c609d614c073c70b92e2a31b8089e4b50ad0a2df412649fe3be54afb","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"c4824c753235565d6fd031c034dfba9be2812763ac5b3e259a5fa17ac2cdf4da","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"DdH0xqFsM_Vo0DTXUq96kCQ9B_eFhfRBIY0m9Zd0DpT-yUuULniGbIE1yqsytwyRULQi8Gclu3CbYnLO67E2Cw"},"schema":"pubphys.envelope/1"},"record_hash":"68e84061c609d614c073c70b92e2a31b8089e4b50ad0a2df412649fe3be54afb","leaf_index":2228}