{"paper":{"title":"Stabilizer bootstrapping: A recipe for efficient agnostic tomography and magic estimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","cs.DS","cs.LG"],"primary_cat":"quant-ph","authors_text":"Qi Ye, Sitan Chen, Weiyuan Gong, Zhihan Zhang","submitted_at":"2024-08-13T15:23:17Z","abstract_excerpt":"We study the task of agnostic tomography: given copies of an unknown $n$-qubit state $\\rho$ which has fidelity $\\tau$ with some state in a given class $C$, find a state which has fidelity $\\ge \\tau - \\epsilon$ with $\\rho$. We give a new framework, stabilizer bootstrapping, for designing computationally efficient protocols for this task, and use this to get new agnostic tomography protocols for the following classes:\n  Stabilizer states: We give a protocol that runs in time $\\mathrm{poly}(n,1/\\epsilon)\\cdot (1/\\tau)^{O(\\log(1/\\tau))}$, answering an open question posed by Grewal, Iyer, Kretschme"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.06967","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2408.06967/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}