{
  "$schema": "https://themachinepress.com/schemas/story-v1.schema.json",
  "schema_version": "1.0.0",
  "document_type": "machine_press_story",
  "story": {
    "story_id": "mp-2026-09-30-018",
    "source_story_id": "tmp-sidebar-quantum-exact-learning-separation",
    "edition_id": "mp-2026-09-30-morning-0083",
    "edition_url": "https://themachinepress.com/edition/2026-09-30",
    "position": 20,
    "story_type": "ticker",
    "section": "research",
    "editorial_classification": "editorial",
    "headline": "Exact Learning Broke an Old Quantum-Speedup Conjecture",
    "slug": "exact-learning-broke-an-old-quantum-speedup-conjecture",
    "dek": "The new concept classes go beyond the Grover and Bernstein-Vazirani patterns.",
    "summary": "The new concept classes go beyond the Grover and Bernstein-Vazirani patterns.",
    "body_text": "The authors construct exact-learning concept classes whose randomized and deterministic membership-query complexities have cubic-scale separations from quantum query complexity, refuting a longstanding conjecture and matching prior upper bounds up to the stated factors. The result concerns oracle query complexity, not end-to-end training time.",
    "why_it_matters": "The new concept classes go beyond the Grover and Bernstein-Vazirani patterns.",
    "limitations": [
      "The result concerns oracle query complexity, not end-to-end training time."
    ],
    "importance": 7,
    "canonical_url": "https://themachinepress.com/story/mp-2026-09-30-018/exact-learning-broke-an-old-quantum-speedup-conjecture",
    "json_url": "https://themachinepress.com/story/mp-2026-09-30-018.json",
    "first_published_at": "2026-09-30T09:00:00.000-04:00",
    "modified_at": "2026-09-30T09:02:00.000-04:00",
    "content_status": "new",
    "is_carryover": false,
    "carryover_reason": null,
    "key_claims": [
      {
        "claim_id": "claim-mp-2026-09-30-018-001",
        "text": "The new concept classes go beyond the Grover and Bernstein-Vazirani patterns.",
        "source_ids": [
          "source-2026-09-30-020"
        ],
        "qualification": "The result concerns oracle query complexity, not end-to-end training time."
      }
    ],
    "source_ids": [
      "source-2026-09-30-020"
    ],
    "tags": [
      "quantum learning",
      "query complexity",
      "exact learning"
    ],
    "image_url": null,
    "corrections": []
  },
  "sources": [
    {
      "source_id": "source-2026-09-30-020",
      "title": "arXiv preprint 2609.38073",
      "publisher": "arXiv",
      "url": "https://arxiv.org/abs/2609.38073",
      "canonical_url": "https://arxiv.org/abs/2609.38073",
      "source_type": "primary_research",
      "is_primary_source": true,
      "published_at": "2026-09-29T13:34:21.000-04:00",
      "accessed_at": "2026-09-30T08:24:00.000-04:00",
      "supports_claim_ids": [
        "claim-mp-2026-09-30-018-001"
      ]
    }
  ],
  "corrections": [],
  "publisher": {
    "name": "The Machine Press",
    "url": "https://themachinepress.com",
    "description": "A daily newspaper for the age of artificial intelligence."
  },
  "cite_this_report": {
    "title": "Exact Learning Broke an Old Quantum-Speedup Conjecture",
    "publisher": "The Machine Press",
    "published_at": "2026-09-30T09:00:00.000-04:00",
    "canonical_url": "https://themachinepress.com/story/mp-2026-09-30-018/exact-learning-broke-an-old-quantum-speedup-conjecture"
  }
}