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

Nature Photonics

Volumn 10, Issue 6, 2016, Pages 415-419

  Inagaki, Takahiro ^a   Inaba, Kensuke ^a   Hamerly, Ryan ^b   Inoue, Kyo ^c   Yamamoto, Yoshihisa ^b   Takesue, Hiroki ^a  

^a Kashino Diverse Brain Research Laboratory of NTT Communication Science Laboratories   (Japan)

^b STANFORD UNIVERSITY   (United States)

^c OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMBINATORIAL OPTIMIZATION; COMPLEX NETWORKS; FINANCIAL DATA PROCESSING; FOUR WAVE MIXING; GROUND STATE; HAMILTONIANS; ISING MODEL; OPTIMIZATION; PARAMETRIC OSCILLATORS; PROBLEM SOLVING; TEMPERATURE;

COMBINATORIAL OPTIMIZATION PROBLEMS; DEGENERATE OPTICAL PARAMETRIC OSCILLATORS; HIGHLY NON-LINEAR FIBRES; ISING HAMILTONIANS; ISING-SPIN NETWORKS; LARGE-SCALE NETWORK; ONE-DIMENSIONAL ISING MODEL; TIME DIVISION MULTIPLEXED;

OPTICAL PARAMETRIC OSCILLATORS;

EID: 84992291853     PISSN: 17494885     EISSN: 17494893     Source Type: Journal    
DOI: 10.1038/nphoton.2016.68     Document Type: Article

References (28)

1. Papadimitriou, C. H., & Steiglits, K. Combinatorial Optimization: Algorithms and Complexity (Dover Publications, 1998
2. Barahona, F. On the computational complexity of Ising spin glass models. J. Phys. A 15, 3241-3253 (1982
3. Johnson, M.W., et al. Quantum annealing with manufactured spins. Nature 473, 194-198 (2011
4. Kim, K., et al. Quantum simulation of frustrated Ising spins with trapped ions. Nature 465, 590-593 (2010
5. Yamaoka, M., et al. 20k-spin Ising chip for combinatorial optimization problem with CMOS annealing. Proc. Inter. Solid-State Circ. Conf. 24.3 (2015
6. Mahboob, I., & Yamaguchi, H. An electromechanical Ising machine. Preprint at http://arxiv.org/abs/1505.02467 (2015
7. Utsunomiya, S., Takata, K., & Yamamoto, Y. Mapping of Ising models onto injection-locked laser systems. Opt. Express 19, 18091-18108 (2011
8. Takata, K., Utsunomiya, S., & Yamamoto, Y. Transient time of an Ising machine based on injection-locked laser network. New J. Phys. 14, 013052 (2012
9. Wang, Z., Marandi, A., Wen, K., Byer, R. L., & Yamamoto, Y. Coherent Ising machine based on degenerated optical parametric oscillators. Phys. Rev. A 88, 063853 (2013
10. Haribara, Y., Yamamoto, Y., Kawarabayashi, K. I., & Utsunomiya, S. A coherent Ising machine for MAX-CUT problems: performance evaluation against semidefinite programming relaxation and simulated annealing. Preprint at http://arxiv.org/abs/1501.07030 (2015
11. Marandi, A., Wang, Z., Takata, K., Byer, R. L., & Yamamoto, Y. Network of time-multiplexed optical parametric oscillators as a coherent Ising machine. Nature Photon. 8, 937-942 (2014
12. Nabors, C. D., Yang, S. T., Day, T., & Byer, R. L. Coherence properties of a doubly-resonant monolithic optical parametric oscillator. J. Opt. Soc. Am. B 7, 815-820 (1990
13. Marandi, A., Leindecker, N. C., Pervak, V., Byer, R. L., & Vodopyanov, K. L. Coherence properties of a broadband femtosecond mid-IR optical parametric oscillator operating at degeneracy. Opt. Express 20, 7255-7262 (2012
14. 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
15. Okawachi, Y., et al. Dual-pumped degenerate Kerr oscillator in a silicon nitride microresonator. Opt. Lett. 40, 5267-5270 (2015
16. McKinstrie, C., & Radic, S. Phase-sensitive amplification in fibre. Opt. Express 12, 4973-4979 (2004
17. Fan, J., & Migdall, A. Phase-sensitive four-wave mixing and Raman suppression in a microstructure fibre with dual laser pumps. Opt. Lett. 31, 2771-2773 (2006
18. Marhic, M. E., Hsia, C. H., & Jeong, J. M. Optical amplification in a nonlinear fibre interferometer. Electron. Lett. 27, 210-211 (1991
19. 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
20. Choi, S.-K., Vasilyev, M., & Kumar, P. Noiseless optical amplification of images. Phys. Rev. Lett. 83, 1938-1941 (1999
21. Imajuku, W., Takada, A., & Yamabayashi, Y. Low-noise amplifcation under the 3 dB noise figure in high-gain phase-sensitive fibre amplifier. Electron. Lett. 35, 1954-1955 (1999
22. Tong, Z., et al. Towards ultrasensitive optical links enabled by low-noise phasesensitive amplifiers. Nature Photon. 5, 430-436 (2011
23. Ising, E. Beitrag zur theorie des ferromagnetismus. Zeitschrift fur Physik A 31, 253-258 (1925
24. Brown, W. F. Jr Micromagnetics (Wiley, 1963
25. McCoy, B. M., & Wu, T. T. The Two-Dimensional Ising Model 2nd edn (Dover, 2014
26. Agrawal, G. P. Nonlinear Fibre Optics (Academic, 1989
27. Yamamoto, Y., & Inoue, K. Noise in amplifiers. J. Lightw. Technol. 21, 2895-2915 (2003
28. Drummond, P. D., & Corney, J. F. Quantum noise in optical fibers. I. Stochastic equations. J. Opt. Soc. Am. B 18, 139-152 (2001