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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Rapid Flipping of Parametric Phase States
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TL;DR: This work represents a paradigm shift for phase-encoded logic operations by boosting the speed of a parametron bit flip to its ultimate limit by experimenting with a radically different approach and relies on rapid control of the underlying potential.
Posted Content
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Solving combinatorial optimisation problems using oscillator based Ising machines
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Topological optomechanical amplifier in synthetic PT $\mathcal{PT}$ -symmetry
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Quantum Analog Annealing of Gain‐Dissipative Ising Machine Driven by Colored Gaussian Noise
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TL;DR: In this article , the influence of common colored noise on the performance of GIMs is numerically investigated and the results of a domain clustering dynamics analysis reveal that red noise can better suppress the generation of the noise-induced irregular temporary domain.
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