title: Fundamental Speed Limits to the Generation of Quantumness.
abstract: Quantum physics dictates fundamental speed limits during time evolution. We present a quantum speed limit governing the generation of nonclassicality and the mutual incompatibility of two states connected by time evolution. This result is used to characterize the timescale required to generate a given amount of quantumness under an arbitrary physical process. The bound is found to be tight under pure dephasing dynamics. More generally, our analysis reveals the dependence on the initial and final states and non-Markovian effects.
authors.affiliation: Institute of Atomic and Molecular Physics and Jilin Provincial Key Laboratory of Applied Atomic and Molecular Spectroscopy, Jilin University, Changchun 130012, Jilin, China.|Department of Theoretical Physics and History of Science, The University of the Basque Country (EHU/UPV), PO Box 644, 48080 Bilbao, Spain.
authors.forename: Jun
authors.initials: J
authors.lastname: Jing
authors.affiliation: Department of Theoretical Physics and History of Science, The University of the Basque Country (EHU/UPV), PO Box 644, 48080 Bilbao, Spain.|Ikerbasque, Basque Foundation for Science, 48011 Bilbao, Spain.
authors.forename: Lian-Ao
authors.initials: LA
authors.lastname: Wu
authors.affiliation: Department of Physics, University of Massachusetts, Boston, MA 02125, USA.
authors.forename: Adolfo
authors.initials: A
authors.lastname: Del Campo