{"paper":{"title":"Quantum phase discrimination with applications to quantum search on graphs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Guanzhong Li, Jingquan Luo, Lvzhou Li","submitted_at":"2025-04-21T16:06:43Z","abstract_excerpt":"We study the phase discrimination problem, in which we want to decide whether the eigenphase $\\theta\\in(-\\pi,\\pi]$ of a given eigenstate $|\\psi\\rangle$ with eigenvalue $e^{i\\theta}$ is zero or not, using applications of the unitary $U$ provided as a black box oracle.We propose a quantum algorithm named {\\it quantum phase discrimination(QPD)} for this task, with optimal query complexity $\\Theta(\\frac{1}{\\lambda}\\log\\frac{1}{\\delta})$ to the oracle $U$, where $\\lambda$ is the gap between zero and non-zero eigenphases and $\\delta$ the allowed one-sided error. The quantum circuit is simple, consis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.15194","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/2504.15194/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"}