{
  "abstract": "Quantum measurements are conventionally optimized to maximize the average of a utility that depends on the true state and on the measurement outcome. However, when the outcome of the measurement is used as an action within a larger decision-making system, the average utility does not capture the risk of poor outcomes. This letter addresses the design of quantum measurements that maximize a risk-averse objective given by the optimized certainty equivalent (OCE), a family of criteria that includes the average utility and the conditional value at risk (CVaR) as special cases. For a piecewise linear gain function, defining the OCE, thus including the CVaR, the problem is shown to reduce to a finite number of semidefinite programs, for which a dual formulation is derived. For the discrimination of two states, a closed-form solution is obtained that takes the form of a Helstrom measurement. Numerical results show that the optimized measurement improves the lower tail of the utility distribution at a moderate cost in average utility.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10482",
  "author_total": 2,
  "authors": [
    {
      "name": "Meiyi Zhu"
    },
    {
      "name": "Osvaldo Simeone"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/945br61dxnweh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10482",
  "fulltext_url": null,
  "id": "945br61dxnweh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10482",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.IT"
    ],
    [
      "arxiv",
      "eess.SP"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7212138415",
  "pdf_url": "https://arxiv.org/pdf/2609.10482",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/945br61dxnweh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:16Z",
      "native_id": "2609.10482",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10482"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Risk-Averse Decision Making via Quantum Measurement Design",
  "title_text": "Risk-Averse Decision Making via Quantum Measurement Design",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:16Z",
  "url": "https://research.draconitic.com/paper/945br61dxnweh",
  "venue": "arXiv",
  "versions": []
}