Non-boolean computing based on linear waves and oscillators

We investigate, how linear or weakly nonlinear oscillatory systems (coupled nanoscale oscillators and propagating spin-waves) can be used as non-Boolean computing systems. We study two model systems: nearest-neighbor connected harmonic oscillators and propagating spin-waves. We argue that these systems may realize efficient co-processors for some demanding applications (image processing, associative memories, scientific computations), where digital CMOS solutions are notably inefficient. Wave-based processing architectures may use emerging nano-scale oscillators as device components, potentially surpassing end-of-roadmap CMOS performance.