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We present a new way to make Ising machines, i.e., using networks of coupled self-sustaining nonlinear oscillators.
Beitrag zur theorie des ferromagnetismus
E. Ising · 1925
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A study of locking phenomena in oscillators
R. Adler · 1946
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History of the Lenz-Ising Model
Stephen G. Brush · 1967
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Biological Rhythms and the Behavior of Populations of Coupled Oscillators
A. Winfree · 1967
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Statistical Physics: V. 5: Course of Theoretical Physics
L. D. Landau and E. M. Lifshitz · 1969
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Reducibility among combinatorial problems
R. M. Karp · 1972
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A study of locking phenomena in oscillators
R. Adler · 1973
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Self-entrainment of a population of coupled non-linear oscillators
Yoshiki Kuramoto · 1975
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On the computational complexity of Ising spin glass models
Francisco Barahona · 1982
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Phase transitions in active rotator systems
S. Shinomoto, Y. Kuramoto · 1986
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The General Problem of the Stability of Motion
A. M. Lyapunov · 1992
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Phase Noise in Oscillators: a Unifying Theory and Numerical Methods for Characterization
A. Demir, A. Mehrotra, and J. Roychowdhury · 2000
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A spectral bundle method for semidefinite programming
C. Helmberg, F. Rendl · 2000
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Applied and Computational Control, Signals and Circuits – Recent Developments
J. Roychowdhury · 2001
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Randomized heuristics for the MAX-CUT problem
P. Festa, P. M. Pardalos, M. G. C. Resende, and C. C. Ribeiro · 2002
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Rank-two relaxation heuristics for max-cut and other binary quadratic programs
S. Burer, R. Monteiro, Y. Zhang · 2002
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Chemical Oscillations, Waves and Turbulence
Y. Kuramoto · 2003
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A Reliable and Efficient Procedure for Oscillator PPV Computation, with Phase Noise Macromodelling Applications
A. Demir and J. Roychowdhury · 2003
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The Kuramoto Model: A Simple Paradigm for Synchronization Phenomena
J. A. Acebrón, L. L. Bonilla, C. J. P. Vicente, F. Ritort and R. Spigler · 2005
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Exact analytical equations for predicting nonlinear phase errors and jitter in ring oscillators
J. Roychowdhury · 2005
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PPV-HB: Harmonic Balance for Oscillator/PLL Phase Macromodels
T. Mei and J. Roychowdhury · 2006
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Gen-Adler: The generalized Adler’s equation for injection locking analysis in oscillators
P. Bhansali and J. Roychowdhury · 2009
Discrete optimization using quantum annealing on sparse Ising models
Z. Bian, F. Chudak, R. Israel, B. Lackey, W. G. Macready and A. Roy · 2014
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PHLOGON: PHase-based LOGic using Oscillatory Nanosystems
T. Wang and J. Roychowdhury · 2014
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Defining and detecting quantum speedup
T. F. Rønnow, Z. Wang, J. Job, S. Boixo, S. V. Isakov, D. Wecker, J. M. Martinis, D. A. Lidar and M. Troyer · 2014
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Design Tools for Oscillator-based Computing Systems
T. Wang and J. Roychowdhury · 2015
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Solving maximum cut problems by simulated annealing
T. Myklebust · 2015
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A fully-programmable 100-spin coherent Ising machine with all-to-all connections
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Advanced scatter search for the max-cut problem
R. Martí, A. Duarte, M. Laguna · 2009
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The Ising model: teaching an old problem new tricks
Zhengbing Bian, Fabian Chudak, William G Macready, and Geordie Rose · 2010
Cited alongside, same era.
Experimental Demonstration of a Robust and Scalable Flux Qubit
R. Harris, J. Johansson, A. J. Berkley, M. W. Johnson, T. Lanting, S. Han, P. Bunyk, E. Ladizinsky, T. Oh, I. Perminov and others · 2010
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Constructive Proof of Global Lyapunov Function as Potential Function
R. Yuan, Y. Ma, B. Yuan and P. Ao · 2010
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Quantum Annealing with Manufactured Spins
M. W. Johnson, M. H. S. Amin, S. Gildert, T. Lanting, F. Hamze, N. Dickson, R. Harris, A. J. Berkley, J. Johansson, P. Bunyk and others · 2011
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Graph Coloring Problems
Tommy R Jensen and Bjarne Toft · 2011
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P. L. McMahon, A. Marandi, Y. Haribara, R. Hamerly, C. Langrock, S. Tamate and T. Inagaki, H. Takesue, S. Utsunomiya, K. Aihara and others · 2016
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A Coherent Ising machine for 2000-node Optimization Problems
T. Inagaki, Y. Haribara, K. Igarashi, T. Sonobe, S. Tamate, T. Honjo, A. Marandi, P. L. McMahon, T. Umeki, K. Enbutsu and others · 2016
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A 20k-spin Ising Chip to Solve Combinatorial Optimization Problems with CMOS Annealing
M. Yamaoka, C. Yoshimura, M. Hayashi, T. Okuyama, H. Aoki and H. Mizuno · 2016
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What is the computational value of finite-range tunneling?
V. S. Denchev, S. Boixo, S. V. Isakov, N. Ding, R. Babbush, V. Smelyanskiy, J. Martinis, H. Neven · 2016
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An electromechanical Ising Hamiltonian
I. Mahboob, H. Okamoto and H. Yamaguchi · 2016
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Stochastic p-Bits for Invertible Logic
K. Y. Camsari, R. Faria, B. M. Sutton and S. Datta · 2017
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A Time-Division Multiplexing Ising Machine on FPGAs
K. Yamamoto, W. Huang, S. Takamaeda-Yamazaki, M. Ikebe, T. Asai, M. Motomura · 2017
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Physics-Inspired Optimization for Quadratic Unconstrained Problems Using a Digital Annealer
Maliheh Aramon, Gili Rosenberg, Elisabetta Valiante, Toshiyuki Miyazawa, Hirotaka Tamura, and Helmut G. Katzgraber · 2018
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Area efficient annealing processor for ising model without random number generator
H. Gyoten, M. Hiromoto and T. Sato · 2018
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Enhancing the solution quality of hardware ising-model solver via parallel tempering
H. Gyoten, M. Hiromoto and T. Sato · 2018
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