Quantum entanglement of lattice models from ditstrings

We review a  digitized version of scalar electrodynamics and explain how its real time evolution can be calculated using superconducting qutrits (see also talks by R. Parker and M. Asaduzzaman) or Rydberg arrays (see also talk by A. Kaufman). Using numerical methods or adiabatic preparation with actual devices such as QuEra/Aquila, we demonstrate that by using a few thousand shots from a single copy, it is possible to estimate reasonably well  the bipartite quantum von Neumann entanglement entropy of the vacuum. This relies on an optimized filtration of the mutual information of the qudits where the quantum features seem to be encoded in the most probable states in the computational basis (see PRA 112 (2025) 3, 032430). We discuss the limitations associated with finite sampling, sorting fidelity, adiabatic preparation, measurement protocols,  and readout errors. We mention possible applications for quantum hadronization in the event generator PYTHIA and extension to multipartite entenglement (discussed in more detail in a talk by Z. Ozzello). We briefly discuss the cost of the calculations  in the context of obtaining quantum advantage in the near future.