In this pedagogical talk I will discuss recent and ongoing work showing how quantum field theory problems can be embedded on to quantum annealers. The general method we use is a discretisation of the field theory problem into a general Ising model, with the continuous field values being encoded into Ising spin chains. To illustrate the method, and as a simple proof of principle, we have used a quantum annealer to recover the correct profile of various tunnelling solutions. Then I will discuss current work where we construct actual quantum tunnelling processes involving instantons. These methods are applicable to many nonperturbative problems. ----- Follow the usual link or contact the organisers (Antoine Bourget and Edoardo Vescovi).