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Network of time-multiplexed optical parametric oscillators as a coherent Ising machine

Nature Photonics volume 8, pages 937942 (2014) | Download Citation

Abstract

Finding the ground states of the Ising Hamiltonian1 maps to various combinatorial optimization problems in biology, medicine, wireless communications, artificial intelligence and social network. So far, no efficient classical and quantum algorithm is known for these problems and intensive research is focused on creating physical systems—Ising machines—capable of finding the absolute or approximate ground states of the Ising Hamiltonian2,3,4,5,6. Here, we report an Ising machine using a network of degenerate optical parametric oscillators (OPOs). Spins are represented with above-threshold binary phases of the OPOs and the Ising couplings are realized by mutual injections7. The network is implemented in a single OPO ring cavity with multiple trains of femtosecond pulses and configurable mutual couplings, and operates at room temperature. We programmed a small non-deterministic polynomial time-hard problem on a 4-OPO Ising machine and in 1,000 runs no computational error was detected.

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Acknowledgements

The authors thank S.E. Harris, H. Mabuchi, M. Armen, S. Utsunomiya, S. Tamate, K. Yan and Y. Haribara for discussions and K. Ingold, C.W. Rudy, C. Langrock and K. Urbanek for experimental support. The work is supported by the FIRST Quantum Information Processing project.

Author information

Affiliations

  1. E.L. Ginzton Laboratory, Stanford University, California 94305, USA

    • Alireza Marandi
    • , Zhe Wang
    • , Robert L. Byer
    •  & Yoshihisa Yamamoto
  2. National Institute of Informatics, Tokyo 101-8403, Japan

    • Alireza Marandi
    • , Kenta Takata
    •  & Yoshihisa Yamamoto
  3. Department of Information and Communication Engineering, University of Tokyo, Tokyo 113-8656, Japan

    • Kenta Takata
    •  & Yoshihisa Yamamoto

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Contributions

A.M. and Y.Y. conceived the idea and designed the experiment. A.M. and K.T. carried out the experiment. Z.W. performed the numerical simulations. Y.Y. and R.L.B. guided the work. A.M. wrote the manuscript, with input from all authors.

Competing interests

The authors declare no competing financial interests.

Corresponding author

Correspondence to Alireza Marandi.

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DOI

https://doi.org/10.1038/nphoton.2014.249

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