Optoelectronic coherent Ising machine for combinatorial optimization problems

Nickson Mwamsojo; Frederic Lehmann; Kamel Merghem; Badr-Eddine Benkelfat; Yann Frignac

doi:10.1364/OL.485215

Optics Letters
Vol. 48,
Issue 8,
pp. 2150-2153
(2023)
•https://doi.org/10.1364/OL.485215

Optoelectronic coherent Ising machine for combinatorial optimization problems

Nickson Mwamsojo, Frederic Lehmann, Kamel Merghem, Badr-Eddine Benkelfat, and Yann Frignac

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Nickson Mwamsojo, Frederic Lehmann, Kamel Merghem, Badr-Eddine Benkelfat, and Yann Frignac, "Optoelectronic coherent Ising machine for combinatorial optimization problems," Opt. Lett. 48, 2150-2153 (2023)

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Abstract

Hopfield networks are iterative procedures able to solve combinatorial optimization problems. New studies regarding algorithm-architecture adequacy are fostered by the re-emergence of hardware implementations of such methods in the form of Ising machines. In this work, we propose an optoelectronic architecture suitable for fast processing and low energy consumption. We show that our approach allows effective optimization relevant to statistical image denoising.

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Supplementary Material (1)

Name	Description
Supplement 1	Details for image figure of 5 and the experimental setup of Figure 1

Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Metric	Digital	Optoeletronic	SAN
	CIM	CIM
Success probability ( $%$ )	91.4	90	98.9
Time (ms)	10	2.1	79
FPOs ( $\times 10^{6}$ )	0.76	0.32	5.68
Energy ( $\times 10^{- 6}$ kWh)	0.6	$3 \times 10^{- 4}$	14
${C O}_{2 e q}$ ( $\times 10^{- 6}$ kg)	$0.044$	$2.2 \times 10^{- 5}$	$1$

Metric	Digital	Optoeletronic	SAN
	CIM	CIM
Success probability ( $%$ )	$89$	$86.75$	$100$
PCER ( $%$ )	$2.3$	$3$	$1.7$
Time (ms)	$4110$	$86$	$39 130$
FPOs ( $\times 10^{9}$ )	$0.7$	$0.0131$	$7.1$
Energy ( $\times 10^{- 6}$ kWh)	$90$	$1.45 \times 10^{- 2}$	$1100$
${C O}_{2 e q}$ ( $\times 10^{- 6}$ kg)	$5$	$8 \times 10^{- 4}$	$62$

Metric	Digital	Optoeletronic	SAN
	CIM	CIM
Success probability ( $%$ )	91.4	90	98.9
Time (ms)	10	2.1	79
FPOs ( $\times 10^{6}$ )	0.76	0.32	5.68
Energy ( $\times 10^{- 6}$ kWh)	0.6	$3 \times 10^{- 4}$	14
${C O}_{2 e q}$ ( $\times 10^{- 6}$ kg)	$0.044$	$2.2 \times 10^{- 5}$	$1$

Metric	Digital	Optoeletronic	SAN
	CIM	CIM
Success probability ( $%$ )	$89$	$86.75$	$100$
PCER ( $%$ )	$2.3$	$3$	$1.7$
Time (ms)	$4110$	$86$	$39 130$
FPOs ( $\times 10^{9}$ )	$0.7$	$0.0131$	$7.1$
Energy ( $\times 10^{- 6}$ kWh)	$90$	$1.45 \times 10^{- 2}$	$1100$
${C O}_{2 e q}$ ( $\times 10^{- 6}$ kg)	$5$	$8 \times 10^{- 4}$	$62$

Abstract

Supplementary Material (1)

Data availability

Cited By

Figures (7)

Tables (2)

Equations (3)

Optics Letters