Qubitization of field theories

by Paulo Bedaque (University of Maryland)

Monday 7 Mar 2022, 12:00 → 14:00 US/Eastern

In order to simulate field theories in quantum computers (or to use tensor network methods) one needs to discretize not only spacetime but also the **target** space of bosonic theories. We discuss some strategies to deal with this problem.  For some interesting models of interest, we show that ideas from non-commutative geometry can be used to find a formulation with a finite Hilbert space which is, nevertheless, in the same universality class as the theory with continuous fields.