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

Author:

Ouyang Jiayi1,Liao Yuxuan1,Ma Zhiyao1,Kong Deyang1,Feng Xue1ORCID,Zhang Xiang2,Dong Xiaowen2,Cui Kaiyu1,Liu Fang1ORCID,Zhang Wei1ORCID,Huang Yidong1

Affiliation:

1. Tsinghua University

2. Huawei Technologies Co.,Ltd.

Abstract

Abstract 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).

Publisher

Research Square Platform LLC

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