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arXiv · 1501.07030

A coherent Ising machine for MAX-CUT problems : Performance evaluation against semidefinite programming relaxation and simulated annealing

Yoshitaka Haribara·Shoko Utsunomiya·Ken-ichi Kawarabayashi·Yoshihisa Yamamoto
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Abstract

Combinatorial optimization problems are computationally hard in general, but they are ubiquitous in our modern life. A coherent Ising machine (CIM) based on a multiple-pulse degenerate optical parametric oscillator (DOPO) is an alternative approach to solve these problems by a specialized physical computing system. To evaluate its potential performance, computational experiments are performed on maximum cut (MAX-CUT) problems against traditional algorithms such as semidefinite programming relaxation of Goemans-Williamson and simulated annealing by Kirkpatrick, et al. The numerical results empirically suggest that the almost constant computation time is required to obtain the reasonably accurate solutions of MAX-CUT problems on a CIM with the number of vertices up to $2 \times 10^4$ and the number of edges up to $10^8$.

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Yoshitaka Haribara, Shoko Utsunomiya, Ken-ichi Kawarabayashi, Yoshihisa Yamamoto. 2015-01-28. A coherent Ising machine for MAX-CUT problems : Performance evaluation against semidefinite programming relaxation and simulated annealing. https://doi.org/10.1007/978-4-431-55756-2_12

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