Generalized Geometric Quantum Speed Limits

摘要: The attempt to gain a theoretical understanding of the concept time in quantum mechanics has triggered significant progress towards search for faster and more efficient technologies. One such advances consists interpretation time-energy uncertainty relations as lower bounds minimal evolution between two distinguishable states system, also known speed limits. We investigate how non uniqueness bona fide measure distinguishability defined on state space affects limits can be exploited order derive improved bounds. Specifically, we establish an infinite family valid unitary nonunitary evolutions, based elegant information geometric formalism. Our work unifies generalizes existing results limits, provides instances novel which are tighter than any established one conventional Fisher information. illustrate our findings with relevant examples, demonstrating importance choosing different metrics open system dynamics, well clarifying roles classical populations versus coherences, determination saturation find applications optimization control technologies computation metrology, might provide new insights fundamental investigations thermodynamics.