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.