Dynamical Resource Theories and Their Applications

Dynamical Resource Theories and Their Applications

Seminar author:Chung-Yun Hsieh

Event date and time:03/17/2022 04:00:pm

Event location:

Event contact:

Zoom link

This talk will briefly recap the recently established direction dubbed dynamical resource theories and their applications to communication, thermodynamics, and quantum marginal problems. We will start with a brief introduction to dynamical resource theories’ basic setup. After that, as applications, two specific cases follow. First, the ability of quantum dynamics to maintain physical properties can be formulated as a dynamical resource. The corresponding dynamical resource theory can bridge communication and thermodynamics, revealing the thermodynamic criterion of transmitting classical information. As the second example, the dynamical-resource-theoretic approach extends quantum state marginal problems to the dynamical regime, called quantum channel marginal problems. They ask whether a given collection of local quantum dynamics can be realized by a single, global one. We construct witnesses for quantum channel marginal problems, discuss their operational interpretation in a state-discrimination task, and show that quantum channel marginal problems are irreducible to quantum state marginal problems.