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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Journal ArticleDOI
A coherent Ising machine for 2000-node optimization problems.
Takahiro Inagaki,Yoshitaka Haribara,Yoshitaka Haribara,Koji Igarashi,Tomohiro Sonobe,Tomohiro Sonobe,Shuhei Tamate,Toshimori Honjo,Alireza Marandi,Peter L. McMahon,Takeshi Umeki,Koji Enbutsu,Osamu Tadanaga,Hirokazu Takenouchi,Kazuyuki Aihara,Ken-ichi Kawarabayashi,Ken-ichi Kawarabayashi,Kyo Inoue,Shoko Utsunomiya,Hiroki Takesue +19 more
TL;DR: It is shown that an optical processing approach based on a network of coupled optical pulses in a ring fiber can be used to model and optimize large-scale Ising systems, and a coherent Ising machine outperformed simulated annealing in terms of accuracy and computation time for a 2000-node complete graph.
Journal ArticleDOI
Intrinsic optimization using stochastic nanomagnets
TL;DR: In this article, the authors present a hardware system which can be engineered so that its intrinsic physics is described by the generalized Ising model and can encode the solution to many important NP-hard problems as its ground state.
Journal ArticleDOI
Large-Scale Photonic Ising Machine by Spatial Light Modulation.
Davide Pierangeli,Davide Pierangeli,Giulia Marcucci,Giulia Marcucci,Claudio Conti,Claudio Conti +5 more
TL;DR: In this article, a large-scale optical Ising machine with a spatial light modulator was designed and experimentally demonstrated, where the spin variables were encoded in a binary phase modulation of the field and the light propagation can be tailored to minimize an Ising Hamiltonian.
Journal ArticleDOI
Intrinsic optimization using stochastic nanomagnets
TL;DR: A hardware system which can be engineered so that its intrinsic physics is described by the generalized Ising model and can encode the solution to many important NP-hard problems as its ground state is drawn attention.
Book ChapterDOI
OIM: Oscillator-Based Ising Machines for Solving Combinatorial Optimisation Problems
TL;DR: In this paper, the phase dynamics of coupled self-sustaining nonlinear oscillators are shown to be governed by a Lyapunov function that is closely related to the Ising Hamiltonian of the coupling graph.
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