We demonstrate how quantum field theory problems can be practically encoded by using a discretization 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 use a (hybrid) quantum annealer to recover the correct profile of the thin-wall tunnelling solution. This method is applicable to many nonperturbative problems.
Abel, S., Chancellor, N., & Spannowsky, M. (2021). Quantum computing for quantum tunneling. Physical Review D, 103(1), Article 016008. https://doi.org/10.1103/physrevd.103.016008