{"paper":{"title":"Quantum Speedups for Zero-Sum Games via Improved Dynamic Gibbs Sampling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS","math.OC"],"primary_cat":"quant-ph","authors_text":"Aaron Sidford, Adam Bouland, Kevin Tian, Yosheb Getachew, Yujia Jin","submitted_at":"2023-01-10T02:56:49Z","abstract_excerpt":"We give a quantum algorithm for computing an $\\epsilon$-approximate Nash equilibrium of a zero-sum game in a $m \\times n$ payoff matrix with bounded entries. Given a standard quantum oracle for accessing the payoff matrix our algorithm runs in time $\\widetilde{O}(\\sqrt{m + n}\\cdot \\epsilon^{-2.5} + \\epsilon^{-3})$ and outputs a classical representation of the $\\epsilon$-approximate Nash equilibrium. This improves upon the best prior quantum runtime of $\\widetilde{O}(\\sqrt{m + n} \\cdot \\epsilon^{-3})$ obtained by [vAG19] and the classic $\\widetilde{O}((m + n) \\cdot \\epsilon^{-2})$ runtime due t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.03763","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/2301.03763/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"}