Perturbative boundaries of quantum computing (cont.)

Robert Maxton; University of Iowa

We review the real-time evolution for λÏ4 lattice field theory. The zero radius of convergence of the corresponding perturbative series has motivated the development of a quantum computing algorithm for this problem (Jordan 2012). However, we have shown that the digitization of the problem is an approximation that permits a finite radius of convergence of weak and strong coupling expansions.

In this sequel to the October 2022 talk, we discuss the implementation of \phi^4  on quantum hardware and explore the singularity structure of the finite Hamiltonian, particularly its potential for analytic continuation along the entire positive real axis.