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Abstract
Cognitive photonic networks are researched to efficiently solve computationally hard problems. Flexible fabrication techniques for the implementation of such networks into compact and scalable chips are desirable for the study of new optical computing schemes and algorithm optimization. Here we demonstrate a femtosecond laser-written optical oracle based on cascaded directional couplers in glass, for the solution of the Hamiltonian path problem. By interrogating the integrated photonic chip with ultrashort laser pulses, we were able to distinguish the different paths traveled by light pulses, and thus infer the existence or the absence of the Hamiltonian path in the network by using an optical correlator. This work proves that graph theory problems may be easily implemented in integrated photonic networks, down scaling the net size and speeding up execution times.
Highlights
More than 2000 NP complete problems are present in our daily lives [1]
Summary In summary, we have realized the first integrated laser-written optical oracle based on time delay networks for the solution of the Hamiltonian path problem
Direct laser writing technique is a promising tool for the implementation of different NP computational problems into compact glass substrates as optical analog devices
Summary
More than 2000 NP complete problems (non-deterministic polynomial time complete problems) are present in our daily lives [1]. Time delay networks are a interesting approach due to their scalability in integrated photonic platforms Within this modality, optical oracles that solve the Hamiltonian path problem have been proposed [23] and demonstrated [22]. Moving from meters of optical fibers [22] towards the millimeter length scale, ultrashort laser pulses in the femtosecond time domain are required when interrogating the laser-written optical oracle With this decrease in the physical device size and the reduction of the optical pulse width, shorter execution times of the NP computational problems are possible.This first demonstration of a laser-written optical oracle on a robust integrated optics platform proves the potential for reducing the solving time of computationally hard combinatorial problems exploiting the parallelism of light propagation in downscaled optical networks.
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