Efficient quantum implementation of 2+1 U(1) lattice gauge theories with Gauss law constraints

Understand

The study of real-time evolution of lattice quantum field theories using classical computers is known to scale exponentially with the number of lattice sites.

• Due to a fundamentally different computational strategy, quantum computers hold the promise of allowing for detailed studies of these dynamics from first principles.
• However, much like with classical computations, it is important that quantum algorithms do not have a cost that scales exponentially with the volume.
• Recently, it was shown how to break the exponential scaling of a naive implementation of a U(1) gauge theory in two spatial dimensions through an operator redefinition.