An electromechanical Ising Hamiltonian
TLDR
These results suggest that an electromechanical simulator could be built for the Ising Hamiltonian in a nontrivial configuration, namely, for a large number of spins with multiple degrees of coupling.Abstract:
Solving intractable mathematical problems in simulators composed of atoms, ions, photons, or electrons has recently emerged as a subject of intense interest. We extend this concept to phonons that are localized in spectrally pure resonances in an electromechanical system that enables their interactions to be exquisitely fashioned via electrical means. We harness this platform to emulate the Ising Hamiltonian whose spin 1/2 particles are replicated by the phase bistable vibrations from the parametric resonances of multiple modes. The coupling between the mechanical spins is created by generating two-mode squeezed states, which impart correlations between modes that can imitate a random, ferromagnetic state or an antiferromagnetic state on demand. These results suggest that an electromechanical simulator could be built for the Ising Hamiltonian in a nontrivial configuration, namely, for a large number of spins with multiple degrees of coupling.read more
Citations
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Large-scale Ising Emulation with Four-Body Interaction and All-to-All Connection
TL;DR: This work experimentally demonstrates adjustable two- and four-body interactions and all-to-all connections for up to a million emulated spins and could serve as a tool to probe complex, many-body physics and give rise to exciting applications in big-data optimization, computing, and analytics.
Journal ArticleDOI
Large-scale Ising emulation with four body interaction and all-to-all connections
TL;DR: In this paper, a nonlinear optics approach is proposed to emulate Ising machines with many spins and with tailored all-to-all two and four-body interactions, which can be used to probe complex, many-body physics and give rise to exciting applications in big data optimization, computing, and analytics.
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