Memory-efficient tracking of complex temporal and symbolic dynamics with quantum simulators (New Journal of Physics 21, 013021)

We know from prior works that quantum models have an advantage when it comes to generating predictions, using less memory than all classical counterparts. This was first done in the context of processes that output symbols at discrete points in time. Subsequently similar advantages were discovered processes that can emit only a single symbol, but at any in continuous point in time.

What we tackle here is the combination of the two. Can we construct systematic quantum models for processes that operate both in continuous time time, and emit different symbols?