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In quantum information, it was found that the reference frames can be associated to quantum particles, leading to quantum reference frames transformations. The connection between these two frameworks is still unexplored, but if clarified it will lead to a more profound understanding of symmetries in quantum mechanics and quantum gravity. \nHere, we establish a correspondence between quantum reference frame transformations and transformations generated by a quantum deformation of the Galilei group with commutative time, taken at first order in the quantum deformation parameter. This is found once the quantum group noncommutative transformation parameters are represented on the phase space of a quantum particle, and upon setting the quantum deformation parameter to be proportional to the inverse of the mass of the particle serving as the quantum reference frame. These results allow us to show that quantum reference frame transformations are physically relevant when the state of the quantum reference frame is in a quantum superposition of semiclassical states. We conjecture that the all-order quantum Galilei group describes quantum reference frame transformations between more general quantum states of the quantum reference frame.<\/jats:p>","DOI":"10.22331\/q-2025-12-10-1935","type":"journal-article","created":{"date-parts":[[2025,12,10]],"date-time":"2025-12-10T12:44:21Z","timestamp":1765370661000},"page":"1935","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["Quantum Galilei group as quantum reference frame transformations"],"prefix":"10.22331","volume":"9","author":[{"given":"Angel","family":"Ballesteros","sequence":"first","affiliation":[{"name":"Departamento de F\u00edsica, Universidad de Burgos, 09001 Burgos, Spain."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Diego","family":"Fernandez-Silvestre","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas y Computaci\u00f3n, Universidad de Burgos, 09001 Burgos, Spain."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Flaminia","family":"Giacomini","sequence":"additional","affiliation":[{"name":"Institute for Theoretical Physics, ETH Z\u00fcrich, 8093 Z\u00fcrich, Switzerland."},{"name":"Dipartimento di Fisica, Universit\u00e0 di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133, Roma, Italy."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Giulia","family":"Gubitosi","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica Ettore Pancini, Universit\u00e0 di Napoli Federico II, and INFN, Sezione di Napoli, Complesso Univ. 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