IQI Weekly Seminar

Abstract: We present quantum simulation algorithms for quantum field theory based on the light-front formulation of relativistic field theories. We analyze a simple theory in 1 + 1D and show how to compute the analogues of parton distribution functions of composite particles in this theory. Upon quantizing the system in light-cone coordinates, the Hamiltonian becomes block diagonal, each block approximating the Fock space with a certain harmonic resolution K. The qubit requirements are lower bounded scaling as the square root of K, and simulation algorithms have gate requirements polynomial in K.