Heisenberg picture simulation of two-dimensional dynamics and its compression

          @misc{ scivideos_PIRSA:26050034,
            doi = {10.48660/26050034},
            url = {https://pirsa.org/26050034},
            author = {Carrasquilla {\'A}lvarez, Juan Felipe},
            keywords = {Quantum Information, Quantum Matter},
            language = {en},
            title = {Heisenberg picture simulation of two-dimensional dynamics and its compression},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2026},
            month = {may},
            note = {PIRSA:26050034 see, \url{https://scivideos.org/pirsa/26050034}}
          }
          

Abstract

I will discuss our recent work on simulating and compressing the out-of-equilibrium dynamics of two-dimensional quantum systems using Pauli propagation techniques. In particular, I will discuss compression strategies based on quantum machine learning that offer significant reduction in gate count, as well as a strategy to simulate lattice fermions based on a Majorana-string propagation in two dimensions. Our methodologies achieve high accuracy on timescales comparable to state-of-the-art variational techniques and experiments that demonstrate that controlled Majorana-string truncation is a practical tool for simulating two-dimensional fermionic dynamics.