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Published 2016 | public
Book Section - Chapter

A Degenerate Optical Parametric Oscillator Network for Coherent Computation

Abstract

Laws of physics have proved useful for solving combinatorial optimization problems. This chapter introduces a network of degenerate optical parametric oscillators which takes advantage of principles of quantum optics to tackle NP-hard problems. The underlying mechanism originates from the bistability of the output phase of each oscillator, coherent interactions between coupled oscillators, and the inherent preference of the network for oscillating in a mode with the minimum photon loss. Computational experiments have been extensively performed using instances of an NP-hard problem in graph theory with the number of vertices ranging from 4 to 20000. The numerical results clearly demonstrate the effectiveness of the network. In addition, the network can be physically implemented on a single ring cavity with multiple trains of femtosecond pulses and configurable mutual couplings. The implementation has been realized for the instance on the cubic graph with 4 vertices, and no computational error is detected in 1000 runs.

Additional Information

© Springer Japan 2016.

Additional details

Created:
August 22, 2023
Modified:
January 14, 2024