Technical University Munich
Mathematical Physics | M5
Tel. +49 89 289 18321
I love the beauty of the particular types of abstract patterns involved in my research, feel inspired by the flash of enlightenment I experience when a new idea connects previously unconnected ones and fulfil my expectations by applying them to solve non-trivial problems.
Research focus: Study of the speed of convergence of quantum dissipative evolutions via quantum functional inequalities.
My envisaged project at MCQST concerns the question of how fast a quantum thermal dissipative evolution converges to its equilibrium state. This velocity of thermalization is given by the time that it takes for every initial physical state undergoing a dissipative evolution to be almost indistinguishable from the thermal equilibrium, which can be studied via the optimal constants associated to some quantum functional inequalities. In particular, we are interested in physical systems for which this convergence is fast enough, and thus have nice properties such as stability against external perturbations and satisfy an area law. My goal is to design and implement the necessary mathematical tools to obtain conditions on physical systems that imply rapid mixing on quantum systems and that can be used to estimate the speed of convergence of an algorithm or the noise generated in a quantum circuit.