Title: Resource dependent complexity of quantum channels
Abstract: Motivated by the axiomatic approach to complexity measures introduced by Jaffe, I will present a new resource-dependent complexity measure, and discuss its properties. This complexity measure is flexible in that one is able to apply it to both closed and open systems, and it does not require the resource set to be of any particular form. After discussing our motivation, and some fundamental properties, we will show how by choosing suitable resource sets, we recover the Wasserstein-1 complexity of Jaffe, and also provide lower bounds for Nielsen's geometric complexity. Time allowing, I will also discuss some applications.