Qubit Regularization of Quantum Field Theories. Invited Theoretical Physics Seminar. Brookhaven National Laboratory. September 6, 2019

Invited Talk

Motivated by the desire to study quantum field theories on a quantum computer, we propose a new type of regularization of quantum field theories where in addition to the usual lattice regularization, quantum field theories are constructed with a finite dimensional Hilbert space per lattice site. This is particularly relevant for studying bosonic field theories using a quantum computer since traditional lattice regularization assumes an infinite dimensional Hilbert space per lattice site and hence difficult to formulate on a quantum computer. Here we show that a two qubit model is sufficient to recover the 3d Wilson-Fisher fixed point and the 4d Gaussian fixed point of the O(3) sigma model. On the other hand in 2d, our qubit model does not seem to have a continuum limit although we have to go to study large lattices to establish this fact. We discuss modifications of our model that could perhaps yield a continuum limit.

Service Performed By

Date

  • September 6, 2019

Service or Event Name

  • Invited Theoretical Physics Seminar

Host Organization

  • Brookhaven National Laboratory

Location or Venue

  • Upton, NY