Manzano Paule, GonzaloHorowitz, JordanRodríguez Parrondo, Juan Manuel2023-06-182023-06-182015-09-211539-375510.1103/PhysRevE.92.032129https://hdl.handle.net/20.500.14352/24232©2015 American Physical Society. This work has been supported by grants ENFASIS (Grant No. FIS2011-22644) and TerMic (Grant No. FIS2014-52486-R) from the Spanish Government. G.M.P. acknowledges Grant No. BES-2012-054025. This work also benefited from the COST Action MP1209.We derive a general fluctuation theorem for quantum maps. The theorem applies to a broad class of quantum dynamics, such as unitary evolution, decoherence, thermalization, and other types of evolution for quantum open systems. The theorem reproduces well-known fluctuation theorems in a single and simplified framework and extends the Hatano-Sasa theorem to quantum nonequilibrium processes. Moreover, it helps to elucidate the physical nature of the environment that induces a given dynamics in an open quantum system.engjournal articlehttp://dx.doi.org/10.1103/PhysRevE.92.032129http://journals.aps.org/open access539.1Entropy productionHeatSemigroupsSystemsFísica nuclear2207 Física Atómica y Nuclear