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We ensure that our complex-valued neural networks are holomorphic functions, and exploit this property to efficiently compute gradients. Application to the transverse-field Ising model on a one- and two-dimensional lattice exhibits an accuracy comparable to the stochastic configuration method proposed in [Carleo and Troyer, Science 355, 602-606 (2017)], but does not require computing the (pseudo-)inverse of a matrix.<\/jats:p>","DOI":"10.22331\/q-2022-01-20-627","type":"journal-article","created":{"date-parts":[[2022,1,20]],"date-time":"2022-01-20T12:16:35Z","timestamp":1642680995000},"page":"627","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":56,"title":["Real time evolution with neural-network quantum states"],"prefix":"10.22331","volume":"6","author":[{"given":"Irene L\u00f3pez","family":"Guti\u00e9rrez","sequence":"first","affiliation":[{"name":"Technische Universit\u00e4t M\u00fcnchen, Department of Informatics and Institute for Advanced Study, Boltzmannstra\u00dfe 3, 85748 Garching, Germany"},{"name":"Technische Universit\u00e4t Dresden, Institute of Scientific Computing, Zellescher Weg 12-14, 01069 Dresden, Germany"}]},{"given":"Christian B.","family":"Mendl","sequence":"additional","affiliation":[{"name":"Technische Universit\u00e4t M\u00fcnchen, Department of Informatics and Institute for Advanced Study, Boltzmannstra\u00dfe 3, 85748 Garching, Germany"},{"name":"Technische Universit\u00e4t Dresden, Institute of Scientific Computing, Zellescher Weg 12-14, 01069 Dresden, Germany"}]}],"member":"9598","published-online":{"date-parts":[[2022,1,20]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"V. 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