{"paper":{"title":"Sample-Optimal Quantum Process Tomography with Non-Adaptive Incoherent Measurements","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Aadil Oufkir","submitted_at":"2023-01-30T14:26:15Z","abstract_excerpt":"How many copies of a quantum process are necessary and sufficient to construct an approximate classical description of it? We extend the result of Surawy-Stepney, Kahn, Kueng, and Guta (2022) to show that $\\tilde{\\mathcal{O}}(d_{\\text{in}}^3d_{\\text{out}}^3/\\varepsilon^2)$ copies are sufficient to learn any quantum channel $C^{d_{\\text{in}}\\times d_{\\text{in}}} \\rightarrow C^{d_{\\text{out}}\\times d_{\\text{out}}}$ to within $\\varepsilon$ in diamond norm. Moreover, we show that $\\Omega(d_{\\text{in}}^3 d_{\\text{out}}^3/\\varepsilon^2)$ copies are necessary for any strategy using incoherent non-ada"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.12925","kind":"arxiv","version":1},"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/2301.12925/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"}