An On-demand Photonic Ising Machine with Simplified Hamiltonian Calculation by Phase-encoding and Intensity Detection

分类： 光学 >> 量子光学 提交时间： 2023-02-19

Jiayi Ouyang Yuxuan Liao Zhiyao Ma Deyang Kong Xue Feng Xiang Zhang Xiaowen Dong Kaiyu Cui Fang Liu Wei Zhang Yidong Huang

摘要： Photonic Ising machine is a new paradigm of optical computing, which is based on the characteristics of light wave propagation, parallel processing and low loss transmission. Thus, the process of solving the combinatorial optimization problems can be accelerated through photonic/optoelectronic devices. In this work, we have proposed and demonstrated the so-called Phase-Encoding and Intensity Detection Ising Annealer (PEIDIA) to solve arbitrary Ising problems on demand. The PEIDIA is based on the simulated annealing algorithm and requires only one step of optical linear transformation with simplified Hamiltonian calculation. With PEIDIA, the Ising spins are encoded on the phase term of the optical field and only intensity detection is required during the solving process. As a proof of principle, several 20-dimensional Ising problems have been solved with high ground state probability (0.98 within 1000 iterations for the antiferromagnetic cubic model, >0.99 within 4000 iterations for two random spin-glass models, respectively). It should be mentioned that our proposal is also potential to be implemented with integrated photonic devices such as tunable metasurfaces to achieve large-scale and on-demand photonic Ising machines.

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