**Resource theory of quantum reference frames** - Iman Marvian

For every restriction on operations there is a resource theory, determining how states may be manipulated and used to circumvent the restriction. In the resource theory of quantum reference frames we are restricted to use quantum operations which are invariant under the effect of a given group. This restriction may arise, for example, when two distant parties lack a shared reference frame. The states that circumvent it (the resources) are called quantum reference frames. We introduce a new framework for studying this resource theory. This method is based on representing states by their characteristic functions which are functions from the group to the complex numbers. Using this new method we can answer different interesting questions in the resource theory of quantum reference frames. In particular, in this talk I will use this method to solve the problem of asymptotic reversible transformation between resources. I will also discuss about other possible applications of this method.