The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Network of time-multiplexed optical parametric oscillators as a coherent Ising machine
Open accessAbstract
A network of four degenerate optical parametric oscillators (OPOs) is employed to find the ground state of the Ising Hamiltonian. The good performance of the network reveals the potential of OPOs for many similar problems. 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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Cites
Beitrag zur Theorie des Ferromagnetismus
Ising, E. (1925) · Zeitschrift für Physik · doi:10.1007/bf02980577 · Cited by 3,871
Goemans, M. X., & Williamson, D. P. (1995) · Journal of the ACM · doi:10.1145/227683.227684 · Cited by 3,587
Quantum annealing in the transverse Ising model
Kadowaki, T., & Nishimori, H. (1998) · Physical Review E · doi:10.1103/physreve.58.5355 · Cited by 2,339
Quantum annealing with manufactured spins
Johnson, M. W., Amin, M. H. S., Gildert, S., Lanting, T., Hamze, F., Dickson, N., Harris, R., Berkley, A. J., Johansson, J., Bunyk, P., et al. (2011) · Nature · doi:10.1038/nature10012 · Cited by 1,891
Quantum simulation of frustrated Ising spins with trapped ions
Kim, K., Chang, M.-S., Korenblit, S., Islam, R., Edwards, E. E., Freericks, J. K., Lin, G.-D., Duan, L.-M., & Monroe, C. (2010) · Nature · doi:10.1038/nature09071 · Cited by 750 · cited 2×
“r -1. To implement an artificial Ising spin system, elements with binary degrees of freedom and configurable couplings are required. This has been demonstrated experimentally in cold ion or atom system [17,18] with practical difficulties in scalability. Artificial Ising spin systems based on a network of injection locked…”
BackgroundDefining and detecting quantum speedup
Rønnow, T. F., Wang, Z., Job, J., Boixo, S., Isakov, S. V., Wecker, D., Martinis, J. M., Lidar, D. A., & Troyer, M. (2014) · Science · doi:10.1126/science.1252319 · Cited by 601
Self-citation
Cited by
Noisy intermediate-scale quantum algorithms
Bharti, K., Cervera-Lierta, A., Kyaw, T. H., Haug, T., Alperin-Lea, S., Anand, A., Degroote, M., Heimonen, H., Kottmann, J. S., Menke, T., et al. (2022) · Reviews of Modern Physics · doi:10.1103/revmodphys.94.015004 · Cited by 2,231
100,000-spin coherent Ising machine
Honjo, T., Sonobe, T., Inaba, K., Inagaki, T., Ikuta, T., Yamada, Y., Kazama, T., Enbutsu, K., Umeki, T., Kasahara, R., et al. (2021) · Science Advances · doi:10.1126/sciadv.abh0952 · Cited by 341
Hamerly, R., Inagaki, T., McMahon, P. L., Venturelli, D., Marandi, A., Onodera, T., Ng, E., Langrock, C., Inaba, K., Honjo, T., et al. (2019) · Science Advances · doi:10.1126/sciadv.aau0823 · Cited by 328
Self-citationLarge-scale Ising spin network based on degenerate optical parametric oscillators
Inagaki, T., Inaba, K., Hamerly, R., Inoue, K., Yamamoto, Y., & Takesue, H. (2016) · Nature Photonics · doi:10.1038/nphoton.2016.68 · Cited by 258
Self-citationHigh-performance combinatorial optimization based on classical mechanics
Goto, H., Endo, K., Suzuki, M., Sakai, Y., Kanao, T., Hamakawa, Y., Hidaka, R., Yamasaki, M., & Tatsumura, K. (2021) · Science Advances · doi:10.1126/sciadv.abe7953 · Cited by 231
Metadata
- Authors
- Marandi, A., Wang, Z., Takata, K., Byer, R. L., & Yamamoto, Y.
- Venue
- Nature Photonics
- Published
- 2014-10-26
- Volume
- 8
- Issue
- 12
- Pages
- 937-942
- ISSN
- 1749-4885 (ISSN-L)
- 1749-4893
- OpenAlex
- W2042545232
- Cited by
- 541
- References
- 6
- FWCI
- 25.09
- Type
- journal article
- Language
- en
- Open access
- green
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- Marandi, A., Wang, Z., Takata, K., Byer, R. L., & Yamamoto, Y. (2014). Network of time-multiplexed optical parametric oscillators as a coherent Ising machine. Nature Photonics. https://doi.org/10.1038/nphoton.2014.249
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