Description
Advancements in mapping lattice gauge theories to digital quantum computers have reached a stage where explicit compilation of the associated quantum circuits is possible. As an entry point to these compilation challenges, we describe the optimized quantum circuitry for simulating the real-time dynamics of SU(2) lattice gauge theory on a cube. Using a qudit-based quantum computer, where the qudit registers efficiently encode the truncated local gauge fields, we provide quantum resource estimates in terms of elementary qudit gates for arbitrarily high local gauge-field truncations. We also demonstrate the simulation of real-time, qutrit-digitized SU(2) dynamics on a cube using PennyLane and JAX. By optimizing the simulation circuitry, we found improved circuit decomposition for uniformly controlled qudit rotations, an algorithmic primitive with general applications to quantum computing. The decompositions also apply to mixed-dimensional qudit systems, which we found advantageous for compiling lattice gauge theory simulations. Lastly, we parallelize the evolution of opposite faces of the cube in anticipation of similar opportunities arising in three-dimensional lattice volumes. This work details an ambitious executable for future qudit hardware, and attests to the benefit of codesign between lattice gauge theory simulations and quantum compilation strategies.
| I am the presenting author | Yes |
|---|