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However, preparing and evolving particle wave packets on a quantum device is a nontrivial task. In this work, we propose a method to prepare Gaussian wave packets with momentum on top of the interacting ground state of a fermionic Hamiltonian. Using Givens rotation, we show how to efficiently obtain expectation values of observables throughout the evolution of the wave packets on digital quantum computers. We demonstrate our technique by applying it to the staggered lattice formulation of the Thirring model and studying the scattering of two wave packets. Monitoring the particle density and the entropy produced during the scattering process, we characterize the phenomenon and provide a first step towards studying more complicated collision processes on digital quantum computers. In addition, we perform a small-scale demonstration on IBM&apos;s quantum hardware, showing that our method is suitable for current and near-term quantum devices.<\/jats:p>","DOI":"10.22331\/q-2025-02-19-1638","type":"journal-article","created":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T12:38:26Z","timestamp":1739968706000},"page":"1638","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":12,"title":["Fermionic wave packet scattering: a quantum computing approach"],"prefix":"10.22331","volume":"9","author":[{"given":"Yahui","family":"Chai","sequence":"first","affiliation":[{"name":"Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Arianna","family":"Crippa","sequence":"additional","affiliation":[{"name":"Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany"},{"name":"Institut f\u00fcr Physik, Humboldt-Universit\u00e4t zu Berlin, Newtonstr. 15, 12489 Berlin, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Karl","family":"Jansen","sequence":"additional","affiliation":[{"name":"Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany"},{"name":"Computation-Based Science and Technology Research Center, The Cyprus Institute, 20 Kavafi Street, 2121 Nicosia, Cyprus"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Stefan","family":"K\u00fchn","sequence":"additional","affiliation":[{"name":"Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Vincent R.","family":"Pascuzzi","sequence":"additional","affiliation":[{"name":"IBM Quantum, IBM Thomas J. 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