Hi all,
today we will hear from Carlo Sparaciari, who is visiting this week from UCL. The title and abstract of his talk follow.
Best,
-joe
Title: General framework for multi-resource theories and the first law
Abstract: The resource theoretic framework is an extremely versatile tool that can be used to describe several different branches of quantum physics, from entanglement theory to thermodynamics. Within this framework, one usually identifies a single quantity as being the resource associated with the theory. For example, in entanglement theory the resource is entanglement, while in thermodynamics it is work. However, it is often the case in physics that, in order to perform a specific task, one needs more than a single resource. For instance, to perform a quantum computation we need the input states to be both pure and coherent in the computational basis. In this talk, we provide a formalism to describe resource theories with multiple resources, together with a way to uniquely quantify the resources contained in the system. We also study the inter-conversion of resources, i.e., under what circumstances we can exchange one resource with another. The study of interconversion relations allows us to introduce a first law for general multi-resource theories, that is, a single relation that links all the resources exchanged during a transformation with the change in the properties of the main system. We then provide an example, by applying these results to the case of thermodynamics with multiple charges.