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We investigate the possibility of solving continuous non-convex optimization problems using a network of interacting quantum optical oscillators.
S. Kirkpatric, Optimization by simulated annealing, Science 220
1983
Earlier work this paper cites.
K. G. Murty and S. N. Kabadi, Some NP-complete problems in quadratic and nonlinear programming , Tech. Rep. (1985)
1985
Earlier work this paper cites.
T.-S. Chiang, C.-R. Hwang, and S. J. Sheu, Diffusion for global optimization in ℝ n \mathbb{R}^{n} , SIAM Journal on Control and Optimization 25
1987
Earlier work this paper cites.
P. Pardalos and G. Schnitger, Checking local optimality in constrained quadratic programming is NP-hard, Operations Research Letters 7
1988
Earlier work this paper cites.
D. de Falco, B. Apolloni, and N. Cesa-Bianchi, A numerical implementation of quantum annealing (1988)
1988
Earlier work this paper cites.
D. S. Johnson, C. R. Aragon, L. A. McGeoch, and C. Schevon, Optimization by simulated annealing: An experimental evaluation; part I, graph partitioning, Operations Research 37
1989
Earlier work this paper cites.
B. Apolloni, C. Carvalho, and D. de Falco, Quantum stochastic optimization, Stochastic Processes and their Applications 33
1989
Earlier work this paper cites.
G. O. Roberts and R. L. Tweedie, Exponential convergence of Langevin distributions and their discrete approximations, Bernoulli (1996)
1996
Earlier work this paper cites.
P. L. D. Angelis, P. M. Pardalos, and G. Toraldo, Quadratic programming with box constraints, in Developments in global optimization (Springer, 1997) pp. 73–93
1997
Earlier work this paper cites.
T. Kadowaki and H. Nishimori, Quantum annealing in the transverse Ising model, Phys. Rev. E 58
1998
Earlier work this paper cites.
J. Brooke, D. Bitko, G. Aeppli, et al. , Quantum annealing of a disordered magnet, Science 284
1999
Earlier work this paper cites.
D. Vandenbussche and G. L. Nemhauser, A branch-and-cut algorithm for nonconvex quadratic programs with box constraints, Mathematical Programming 102
2005
Earlier work this paper cites.
S. Burer and D. Vandenbussche, Globally solving box-constrained nonconvex quadratic programs with semidefinite-based finite branch-and-bound, Computational Optimization and Applications 43
2009
Earlier work this paper cites.
S. Burer and A. N. Letchford, Non-convex mixed-integer nonlinear programming: A survey, Surveys in Operations Research and Management Science 17
2012
Earlier work this paper cites.
Z. Wang, A. Marandi, K. Wen, R. L. Byer, and Y. Yamamoto, Coherent Ising machine based on degenerate optical parametric oscillators, Phys. Rev. A 88
2013
Cited alongside, same era.
A. Marandi, Z. Wang, K. Takata, R. L. Byer, and Y. Yamamoto, Network of time-multiplexed optical parametric oscillators as a coherent ising machine, Nature Photonics 8
2014
Cited alongside, same era.
K. Takata, A. Marandi, and Y. Yamamoto, Quantum correlation in degenerate optical parametric oscillators with mutual injections, Phys. Rev. A 92
2015
Cited alongside, same era.
D. Maruo, S. Utsunomiya, and Y. Yamamoto, Truncated Wigner theory of coherent Ising machines based on degenerate optical parametric oscillator network, Physica Scripta 91
2016
Cited alongside, same era.
R. Hamerly, T. Inagaki, P. L. McMahon, D. Venturelli, A. Marandi, T. Onodera, E. Ng, C. Langrock, K. Inaba, T. Honjo, et al. , Experimental investigation of performance differences between coherent Ising machines and a quantum annealer, Science Advances 5
2019
Later among the works it cites.
T. Leleu, Y. Yamamoto, P. L. McMahon, and K. Aihara, Destabilization of local minima in analog spin systems by correction of amplitude heterogeneity, Physical Review Letters 122
2019
Later among the works it cites.
V. K. Prajapati, M. Jain, and L. Chouhan, Tabu search algorithm (TSA): A comprehensive survey, in 2020 3rd International Conference on Emerging Technologies in Computer Engineering: Machine Learning and Internet of Things (ICETCE) (IEEE, 2020) pp. 1–8
2020
Later among the works it cites.
S. Kako, T. Leleu, Y. Inui, F. Khoyratee, S. Reifenstein, and Y. Yamamoto, Coherent ising machines with error correction feedback, Advanced Quantum Technologies 3
2020
Later among the works it cites.
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2016
Cited alongside, same era.
Y. Yamamoto, K. Aihara, T. Leleu, K.-i. Kawarabayashi, S. Kako, M. Fejer, K. Inoue, and H. Takesue, Coherent Ising machines—optical neural networks operating at the quantum limit, npj Quantum Information 3
2017
Cited alongside, same era.
U. Benlic, E. K. Burke, and J. R. Woodward, Breakout local search for the multi-objective gate allocation problem, Computers & Operations Research 78
2017
Cited alongside, same era.
2017
Cited alongside, same era.
M. Raginsky, A. Rakhlin, and M. Telgarsky, Non-convex learning via stochastic gradient Langevin dynamics: A nonasymptotic analysis, in Conference on Learning Theory (PMLR, 2017) pp. 1674–1703
2017
Cited alongside, same era.
T. Shoji, K. Aihara, and Y. Yamamoto, Quantum model for coherent Ising machines: Stochastic differential equations with replicator dynamics, Phys. Rev. A 96
2017
Cited alongside, same era.
2017
Cited alongside, same era.
P. Bonami, O. Günlük, and J. Linderoth, Globally solving nonconvex quadratic programming problems with box constraints via integer programming methods, Mathematical Programming Computation 10
2018
Cited alongside, same era.
Y. Yamamoto, T. Leleu, S. Ganguli, and H. Mabuchi, Coherent Ising machines—quantum optics and neural network perspectives, Applied Physics Letters 117
2020
Later among the works it cites.
R. Yanagimoto, T. Onodera, E. Ng, L. G. Wright, P. L. McMahon, and H. Mabuchi, Engineering a Kerr-based deterministic cubic phase gate via Gaussian operations, Physical Review Letters 124
2020
Later among the works it cites.
T. Leleu, F. Khoyratee, T. Levi, R. Hamerly, T. Kohno, and K. Aihara, Scaling advantage of chaotic amplitude control for high-performance combinatorial optimization, Communications Physics 4
2021
Later among the works it cites.
S. Reifenstein, S. Kako, F. Khoyratee, T. Leleu, and Y. Yamamoto, Coherent Ising Machines with optical Error Correction Circuits, Adv. Quantum Technol. 4
2021
Later among the works it cites.
2021
Later among the works it cites.
S. de Vries and B. Perscheid, Tight compact extended relaxations for nonconvex quadratic programming problems with box constraints, Journal of Global Optimization (2022)
2022
Closest in time.
N. Mohseni, P. L. McMahon, and T. Byrnes, Ising machines as hardware solvers of combinatorial optimization problems, Nature Reviews Physics 4
2022
Closest in time.
S. Kiesewetter and P. D. Drummond, Coherent ising machine with quantum feedback: The total and conditional master equation methods, Phys. Rev. A 106
2022
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Gurobi Optimization, LLC, Gurobi Optimizer Reference Manual (2022)
2022
Closest in time.