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Given the large number of tunable parameters of a processor, the ability to perform gradient optimization would be highly beneficial. Efficient backpropagation for gradient computation requires a tightly integrated software library, for which no open-source implementation is currently available. In this work, we introduce SuperGrad, a simulator that accelerates the design of superconducting quantum processors by incorporating gradient computation capabilities. SuperGrad offers a user-friendly interface for constructing Hamiltonians and computing both static and dynamic properties of composite systems. This differentiable simulation is valuable for a range of applications, including optimal control, design optimization, and experimental data fitting. In this paper, we demonstrate these applications through examples and code snippets.<\/jats:p>","DOI":"10.22331\/q-2025-04-24-1722","type":"journal-article","created":{"date-parts":[[2025,4,24]],"date-time":"2025-04-24T16:12:32Z","timestamp":1745511152000},"page":"1722","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":1,"title":["SuperGrad: a differentiable simulator for superconducting processors"],"prefix":"10.22331","volume":"9","author":[{"given":"Ziang","family":"Wang","sequence":"first","affiliation":[{"name":"Zhejiang Institute of Modern Physics and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang University, Hangzhou 310027, China"}]},{"given":"Feng","family":"Wu","sequence":"additional","affiliation":[{"name":"Zhongguancun Laboratory, Beijing, China"}]},{"given":"Hui-Hai","family":"Zhao","sequence":"additional","affiliation":[{"name":"Zhongguancun Laboratory, Beijing, China"}]},{"given":"Xin","family":"Wan","sequence":"additional","affiliation":[{"name":"Zhejiang Institute of Modern Physics and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang University, Hangzhou 310027, China"}]},{"given":"Xiaotong","family":"Ni","sequence":"additional","affiliation":[{"name":"Quantum Science Center of Guangdong-Hong Kong-Macao, Shenzhen 518045, China"}]}],"member":"9598","published-online":{"date-parts":[[2025,4,24]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"F. 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