Quantum simulations are expected to be able to provide predictions of the dynamics of quantum many-body systems of importance to Standard Model physics research from dense non-equilibrium matter to systems of neutrinos that lie beyond the capabilities of classical computation. After an introduction, I will discuss recent work we have performed in simulating 1+1D quantum field theories,...
We present a quantum algorithm for simulating the classical dynamics of 2n coupled oscillators (e.g., 2n masses coupled by springs). Our approach leverages a mapping between the Schrödinger equation and Newton's equation for harmonic potentials such that the amplitudes of the evolved quantum state encode the momenta and displacements of the classical oscillators. When individual masses and...