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Coherent Ising machines (CIMs) are an experimentally promising class of physics-based computational architectures that embed hard combinatorial optimization problems into systems of coupled nonlinear optical oscillators. The solution-finding mechanisms employed by CIMs feature complicated dynamical bifurcations occurring on a network scale, posing significant challenges to the development of theory and models for their underlying principles of operation. These difficulties are especially pronounced in the ultra-low-power or quantum regimes where the benefits in computational efficiency over conventional optimization algorithms are expected to be largest. We discuss some of our recent approaches and results at this intersection of dynamical systems theory and quantum model reduction, which have highlighted some potentially useful architectures and applications on the horizon for CIMs.
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Edwin Ng, Tatsuhiro Onodera, Ryotatsu Yanagimoto, Atsushi Yamamura, Peter L. McMahon, Hideo Mabuchi, "Coherent Ising machines: models for architectures and applications," Proc. SPIE PC12019, AI and Optical Data Sciences III, PC120190H (9 March 2022); https://doi.org/10.1117/12.2613817