Keith Lee: Quantum algorithms for quantum field theories

Abstract:

Quantum field theory provides the framework for the Standard Model of
particle physics and plays a key role in many areas of physics. However,
calculations are generally computationally complex and limited to weak
interaction strengths. I shall introduce the basics of quantum field
theory and then describe a polynomial-time algorithm for computing, on a
quantum computer, relativistic scattering amplitudes in massive scalar
quantum field theories. The quantum algorithm applies at both weak and
strong coupling, achieving exponential speedup over known classical
methods at high precision or strong coupling.