{
  "abstract": "The seminal Kyle model offers a framework to understand the price impact of an informed trader in a market model for a single asset. We study variants in which the asset's future value is modeled by a classical random walk and by a continuous-time quantum walk, respectively. With these assumptions, we analytically approximate and numerically identify the market equilibrium between risk-neutral market maker and informed trader. In the classical equilibrium, the informed trader possesses a linear strategy, whereas the market maker's pricing rule resembles a logistic curve. The informed trader's profit is also identified to grow sub-linearly with time t. In the quantum equilibrium, the informed trader's strategy forms multiple clusters and the pricing rule exhibits multiple jumps correspondingly. Despite the increasing non-linearity of the equilibrium, the informed trader's profit grows linearly with time t.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06779",
  "author_total": 2,
  "authors": [
    {
      "name": "H. W. Shawn Liew"
    },
    {
      "name": "Patrick Rebentrost"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ffj4qwtbqy5rb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06779",
  "fulltext_url": null,
  "id": "ffj4qwtbqy5rb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06779",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "2003|Stochastic processes and financial applications"
    ]
  ],
  "openalex": "W7220707334",
  "pdf_url": "https://arxiv.org/pdf/2610.06779",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ffj4qwtbqy5rb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.06779",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06779"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Informed Trading model with quantum walks",
  "title_text": "Informed Trading model with quantum walks",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/ffj4qwtbqy5rb",
  "venue": "arXiv",
  "versions": []
}