Speaker
Description
Real time dynamics of lattice gauge theories are difficult to access with Euclidean Monte Carlo methods and challenging to implement on quantum devices, where noise can drive states out of the gauge invariant sector. I will present an experimental realization of measurement based quantum simulation (MBQS) for a $(2+1)$ dimensional $\mathbb{Z}_2$ lattice gauge theory on Quantinuum's H2 trapped ion processor, following the MBQS construction of Sukeno and Okuda, SciPost Phys. 14, 129 (2023).
In MBQS, a resource state tailored to the target model replaces a conventional gate sequence. Its connectivity follows the spacetime locality of the lattice field theory, while adaptive measurements during the circuit consume the resource and implement Hamiltonian time evolution. Using measurement, reset, and re-entanglement, we realize virtual three dimensional cluster resources with hundreds of virtual resource state qubits from a finite register of physical ions.
For this gauge theory resource, the same measurement record that drives the evolution also provides one form symmetry syndromes, which diagnose leakage from the gauge invariant sector. We use these syndromes for postselection and observe improved agreement with ideal Trotterized dynamics, together with coherent evolution of plaquette and loop observables.