Physics

Dr. Arpan Bhattacharyya
IIT Gandhinagar

Abstract: Motivated by recent interesting holographic results, several attempts have been made to study complexity (rather " Circuit Complexity") for quantum field theories using Nielsen's geometric method. But most of the studies so far have been limited to free quantum field theory. In this talk, we will take a baby step towards understanding the circuit complexity for interacting quantum field theories. We discuss how circuit complexity relates to the renormalization group. Finally, we propose a modification to Nielsen's circuit complexity for Hamiltonian simulation using the Suzuki-Trotter (ST) method, which provides a network like structure for the quantum circuit. This leads to an optimized gate counting linear in the geodesic distance and spatial volume, unlike in the original proposal. We will observe a possible emergence of "c"-function from it.