Speaker:Professor Yannick Meurice

Professor Yannick Meurice

University of Iowa

Title: Quantum Field Theory with Quantum Computers

Abstract: We review tensorial formulations of lattice gauge/spin theories and algorithmic aspects of their coarse graining. We discuss truncations and show that they preserve the symmetries of the original lattice models and fit the needs of quantum computation. We discuss concrete proposals of quantum simulation experiments with cold atoms for the Abelian Higgs model and other simple models in 1+1 dimensions. We report recent calculations for real time scattering for the quantum Ising model. We provide a Trotter procedure to implement the evolution on existing quantum computers. We discuss the errors associated with the Trotter step size and gate errors for existing or near-term quantum computers (such as IBM or trapped ions devices). We propose specific benchmarking procedures and applied them to three IBM machines. We discuss estimations of phase shifts from real time evolution.

Bio: Current research is focused on lattice gauge theory and applications of the renormalization group method in field theory and particle physics. Specific topics of interest: large order behavior of  expansions,  improved perturbative methods,  finite dimensional approximations of the renormalization group transformation, B-physics, tensor renormalization, large-N limit for sigma models, quantum calculations with optical lattices.