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Cited by 258

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Large-scale Ising spin network based on degenerate optical parametric oscillators

Open access
Inagaki, Takahiro, Inaba, Kensuke, Hamerly, Ryan, Inoue, Kyo, Yamamoto, Yoshihisa, Takesue, Hiroki·2016·Nature Photonics

Abstract

Solving combinatorial optimization problems is becoming increasingly important in modern society, where the analysis and optimization of unprecedentedly complex systems are required. Many such problems can be mapped onto the ground-state-search problem of the Ising Hamiltonian, and simulating the Ising spins with physical systems is now emerging as a promising approach for tackling such problems. Here, we report a large-scale network of artificial spins based on degenerate optical parametric oscillators (DOPOs), paving the way towards a photonic Ising machine capable of solving difficult combinatorial optimization problems. We generate >10,000 time-division-multiplexed DOPOs using dual-pump four-wave mixing in a highly nonlinear fibre placed in a cavity. Using those DOPOs, a one-dimensional Ising model is simulated by introducing nearest-neighbour optical coupling. We observe the formation of spin domains and find that the domain size diverges near the DOPO threshold, which suggests that the DOPO network can simulate the behaviour of low-temperature Ising spins. More than 10,000 time-division-multiplexed degenerate parametric oscillators are generated using phase-sensitive amplification in a nonlinear optical fibre. They can be used to simulate a coherent Ising machine that could solve difficult computing problems.

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Show all 19 references

Research works printed but not linked: 11

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  2. Serkland, D. K., Bartolini, G. D., Agarwal, A., Kumar, P. & Kath, W. L. Pulsed degenerate optical parametric oscillator based on a nonlinear-fiber Sagnac interferometer. Opt. Lett. 23, 795–797 (1998). · doi:10.1364/ol.23.000795
  3. McKinstrie, C. & Radic, S. Phase-sensitive amplification in fibre. Opt. Express 12, 4973–4979 (2004). · doi:10.1364/opex.12.004973
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  5. Levenson, J. A., Abram, I., Rivera, Th. & Grangier, Ph. Reduction of quantum noise in optical parametric amplification. J. Opt. Soc. Am. B 10, 2233–2238 (1993). · doi:10.1364/josab.10.002233
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Metadata

Authors
Inagaki, T., Inaba, K., Hamerly, R., Inoue, K., Yamamoto, Y., & Takesue, H.
Venue
Nature Photonics
Published
2016-04-18
Volume
10
Issue
6
Pages
415-419
ISSN
  • 1749-4885 (ISSN-L)
  • 1749-4893
OpenAlex
W2338018404
Cited by
258
References
19
FWCI
22.96
Type
journal article
Language
en
Open access
green
Licence
www.springer.com/tdm (tdm)

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Inagaki, T., Inaba, K., Hamerly, R., Inoue, K., Yamamoto, Y., & Takesue, H. (2016). Large-scale Ising spin network based on degenerate optical parametric oscillators. Nature Photonics. https://doi.org/10.1038/nphoton.2016.68

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