Quantum simulation of quantum field theory in the light-front formulation

Quantum field theory is a natural target for simulation on future quantum computers. We will discuss such simulations in the light-front formulation of quantum field theory. This formulation has several appealing features for such simulations foremost of which is the several similarities to quantum chemistry where much effort has already been expended in developing and optimizing quantum simulation techiniques. I will present work based on the discrete lightcone quantization (DLCQ) of the massive Yukawa model and phi-fourth theory. We will discuss error scalings in comparison with alternative approaches. We will also discuss the application of quantum simulation techniques based on sparse matrices to DLCQ, which may be of broad interest beyond the light-front formulation.