{"ID":2831578,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2512.17922","arxiv_id":"2512.17922","title":"A proof-of-principle experiment on the spontaneous symmetry breaking machine and numerical estimation of its performance on the $K_{2000}$ benchmark problem","abstract":"In a previous paper, we proposed a unique physically implemented type simulator for combinatorial optimization problems, called the spontaneous symmetry breaking machine (SSBM). In this paper, we first report the results of experimental verification of SSBM using a small-scale benchmark system, and then describe numerical simulations using the benchmark problems (K2000) conducted to confirm its usefulness for large-scale problems. From 1000 samples with different initial fluctuations, it became clear that SSBM can explore a single extremely stable state. This is based on the principle of a phenomenon used in SSBM, and could be a notable advantage over other simulators.","short_abstract":"In a previous paper, we proposed a unique physically implemented type simulator for combinatorial optimization problems, called the spontaneous symmetry breaking machine (SSBM). In this paper, we first report the results of experimental verification of SSBM using a small-scale benchmark system, and then describe numeri...","url_abs":"https://arxiv.org/abs/2512.17922","url_pdf":"https://arxiv.org/pdf/2512.17922v3","authors":"[\"Toshiya Sato\",\"Takashi Goh\"]","published":"2025-12-08T08:57:19Z","proceeding":"math.OC","tasks":"[\"math.OC\",\"nlin.AO\",\"physics.optics\",\"quant-ph\"]","methods":"[]","has_code":false}