Mathematical Physics Seminar (309 VAN) - Robert Maxton; University of Iowa

Mar 21, 2023

02:30 PM - 03:30 PM

Van Allen Hall, 309

30 North Dubuque Street, Iowa City, IA 52242

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Robert Maxton

Perturbative boundaries of quantum computing (cont.)

Robert Maxton; University of Iowa

We review the real-time evolution for 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.

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