Trapped ions provide a highly controllable platform for quantum computation with discrete variables, encoded in internal electronic states. At the same time, their collective phonon modes offer a natural continuous-variable Hilbert space with bosonic statistics. This hybrid DV/CV structure offers a promising route to simulating quantum field theories with both matter and gauge degrees of freedom.
In this talk, I will discuss how phonon modes of trapped ions can be used to encode gauge bosons, and present a CV/DV quantum signal processing protocol to compute Wilson lines. This construction can serve as a subroutine for full quantum simulations of lattice gauge theories, and may also provide quantum-accelerated methods for classical lattice gauge theory simulations.
IFIC seminars