23/11/15 15:30H Talk @ UFRJ – Lucas Céleri – Universidade Federal de GoiásPosted: November 18, 2015
Title: Geometric approach to time-energy uncertainty relations
The attempt to gain a theoretical understanding of the concept of time in quantum mechanics has triggered significant progress towards the search for faster and more efficient quantum technologies. One of such advances consists in the interpretation of the time-energy uncertainty relations as lower bounds for the minimal evolution time between two distinguishable states of a quantum system, also known as quantum speed limits. In this seminar I will address the question of how the non uniqueness of a bona fide measure of distinguishability defined on the quantum state space affects the quantum speed limits and can be exploited in order to derive improved bounds. Specifically, an infinite family of quantum speed limits valid for unitary and nonunitary evolutions, based on an information geometric formalism, will be establish. This unifies and generalises existing results on quantum speed limits, and provides instances of novel bounds which are tighter than any established one based on the conventional quantum Fisher information. These results can find applications in the optimisation and control of quantum technologies such as quantum computation and metrology, and might provide new insights in fundamental investigations of quantum thermodynamics.
UFRJ- Centro de Tecnologia do Fundão, Bloco A, sala 343