Routed quantum circuits

Speaker: Augustin Vanrietvelde, Imperial College London
Tuesday 23 November 2021, 11:00, (Salle 1Z31, ENS Paris-Saclay)

Abstract: I will present the results of a recently published paper. In this paper, we argue that the quantum-theoretical structures studied in several recent lines of research cannot be adequately described within the standard framework of quantum circuits. This is in particular the case whenever the combination of subsystems is described by a nontrivial blend of direct sums and tensor products of Hilbert spaces. We therefore propose an extension to the framework of quantum circuits, given by routed linear maps and routed quantum circuits. I will outline the application of this formalism to the problem of the coherent control of quantum channels, and a potential application to the study of indefinite causal order.