{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,30]],"date-time":"2026-10-30T03:05:13Z","timestamp":1793329513748,"version":"4.5.0"},"reference-count":88,"publisher":"Frontiers Media SA","license":[{"start":{"date-parts":[[2026,8,27]],"date-time":"2026-08-27T00:00:00Z","timestamp":1787788800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["frontiersin.org"],"crossmark-restriction":true},"short-container-title":["Front. Artif. Intell."],"abstract":"<jats:p>The paper provides an integrated literature review of recent scientific publications on quantum computing in finance and identifies promising directions for future research on the subject. The review covers seven thematic areas: portfolio optimization, derivative pricing and stochastic volatility, quantum machine learning for fraud detection and credit risk, insurance and actuarial science, mixed-frequency econometrics, fuzzy-quantum approaches for financial explainability, and security of cryptocurrencies. The paper compiles the essential quantum computational methods proposed in the literature, outlines their economic significance and the existing constraints for empirical testing and implementation, and discusses cross-cutting issues of explainability, trustworthy AI, robustness, and governance that arise across these application domains. Drawing on this review, the paper identifies five macro-gaps in the existing literature and proposes seven concrete directions for future research, grounded in European financial data and currently available quantum computing infrastructure. A special focus throughout is the increasingly available quantum infrastructure in Europe and the regulatory emphasis on trustworthy artificial intelligence, both of which create timely opportunities for future applications in financial modelling, risk management, and explainable financial AI.<\/jats:p>","DOI":"10.3389\/frai.2026.1929828","type":"journal-article","created":{"date-parts":[[2026,8,27]],"date-time":"2026-08-27T15:53:32Z","timestamp":1787846012000},"update-policy":"https:\/\/doi.org\/10.3389\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Quantum computing in finance: a literature review and future directions for trustworthy financial AI"],"prefix":"10.3389","volume":"9","author":[{"given":"Silvia","family":"Muzzioli","sequence":"first","affiliation":[{"name":"Marco Biagi Department of Economics, University of Modena and Reggio Emilia","place":["Modena, Italy"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Farhana","family":"Raheem","sequence":"additional","affiliation":[{"name":"Marco Biagi Department of Economics, University of Modena and Reggio Emilia","place":["Modena, Italy"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Massimiliano","family":"Ferrara","sequence":"additional","affiliation":[{"name":"Department of Law, Economics and Human Sciences, Mediterranea University of Reggio Calabria","place":["Reggio Calabria, Italy"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Paolo","family":"Giudici","sequence":"additional","affiliation":[{"name":"Department of Economics and Management, University of Pavia","place":["Pavia, Italy"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Roberta","family":"Siciliano","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Information Technologies, University of Naples Federico II","place":["Naples, Italy"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1965","published-online":{"date-parts":[[2026,8,27]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","first-page":"1457000","DOI":"10.3389\/fcomp.2025.1457000","article-title":"A novel transition protocol to post-quantum cryptocurrency blockchains","volume":"7","author":"Almuhammadi","year":"2025","journal-title":"Frontiers in Computer Science"},{"key":"ref2","doi-asserted-by":"publisher","first-page":"1419","DOI":"10.1109\/tfuzz.2022.3202348","article-title":"On the implementation of fuzzy inference engines on quantum computers","volume":"31","author":"Acampora","year":"2023","journal-title":"IEEE Trans. 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