A fully-connected ising model embedding method and its evaluation for CMOS annealing machines

Daisuke Oku, Kotaro Terada, Masato Hayashi, Masanao Yamaoka, Shu Tanaka, Nozomu Togawa

研究成果: Article

抄録

Combinatorial optimization problems with a large solution space are difficult to solve just using von Neumann computers. Ising machines or annealing machines have been developed to tackle these problems as a promising Non-von Neumann computer. In order to use these annealing machines, every combinatorial optimization problem is mapped onto the physical Ising model, which consists of spins, interactions between them, and their external magnetic fields. Then the annealing machines operate so as to search the ground state of the physical Ising model, which corresponds to the optimal solution of the original combinatorial optimization problem. A combinatorial optimization problem can be firstly described by an ideal fully-connected Ising model but it is very hard to embed it onto the physical Ising model topology of a particular annealing machine, which causes one of the largest issues in annealing machines. In this paper, we propose a fully-connected Ising model embedding method targeting for CMOS annealing machine. The key idea is that the proposed method replicates every logical spin in a fully-connected Ising model and embeds each logical spin onto the physical spins with the same chain length. Experimental results through an actual combinatorial problem show that the proposed method obtains spin embeddings superior to the conventional de facto standard method, in terms of the embedding time and the probability of obtaining a feasible solution.

元の言語English
ページ(範囲)1696-1706
ページ数11
ジャーナルIEICE Transactions on Information and Systems
E102D
発行部数9
DOI
出版物ステータスPublished - 2019 1 1

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Ising model
Combinatorial optimization
Annealing
Chain length
Ground state
Topology
Magnetic fields

ASJC Scopus subject areas

  • Software
  • Hardware and Architecture
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering
  • Artificial Intelligence

これを引用

A fully-connected ising model embedding method and its evaluation for CMOS annealing machines. / Oku, Daisuke; Terada, Kotaro; Hayashi, Masato; Yamaoka, Masanao; Tanaka, Shu; Togawa, Nozomu.

:: IEICE Transactions on Information and Systems, 巻 E102D, 番号 9, 01.01.2019, p. 1696-1706.

研究成果: Article

Oku, Daisuke ; Terada, Kotaro ; Hayashi, Masato ; Yamaoka, Masanao ; Tanaka, Shu ; Togawa, Nozomu. / A fully-connected ising model embedding method and its evaluation for CMOS annealing machines. :: IEICE Transactions on Information and Systems. 2019 ; 巻 E102D, 番号 9. pp. 1696-1706.
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