Seems like the key elements in this are the use of a neuromorphic autoencoder (instead of a 'regular' one), plus Fowler–Nordheim annealing dynamics and Ising energy minimization so that the system is not just passively settling, it's being taken through a controlled search process designed to avoid premature trapping and scale to higher-order combinatorial optimization problems. [1]
A 'regular' autoencoder is a neural network trained to compress data and then reconstruct it.
A neuromorphic autoencoder is instead implemented using brain-inspired computing elements like spiking neurons, event-driven updates, local interactions, sometimes specialized hardware. In this paper, looks like the autoencoder is being used as a structured energy-minimizing circuit for an Ising optimization problem. The architecture manipulates Ising clauses rather than only pairwise spin interactions.
Ordinary artificial neurons compute matrix ops such as y=f(Wx+b), while this uses artificial neurons that accumulate input, which emit a spike when they cross a threshold, like biological neurons (event driven neural dynamics).