Seminar: Dr Felix Pollock, Monash University
Resource theories of quantum processes
How limitations on quantum control across multiple points in time induce resource theories of open quantum processes.
Title: Resource theories of quantum processes
Presenter: Dr Felix Pollock
Abstract:
Like sailing, many important tasks involve exploiting an uncontrolled background process, such as the wind. In general, the degree to which a given process is useful depends on one's repertoire of actions in its absence; since the advent of fossil-fuel powered engines, calm days have been about as useful as windy ones for travelling the high seas.
In this talk, I will show how limitations on quantum control across multiple points in time induce resource theories of open quantum processes. In these theories, the processes themselves constitute the states, and possible actions can be seen as their transformations. As an example, I will show how limitations on communication in time (equivalently, the ability to locally store information) lead to a hierarchy of theories where quantum and classical non-Markovianity are resources.