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Trapped Ion Quantum Computing Quantum Simulation

A proof-of-principle experiment on the spontaneous symmetry breaking machine and numerical estimation of its performance on the K2000 benchmark problem

arXiv
Authors: Toshiya Sato, Takashi Goh

Year

2025

Paper ID

16039

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

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.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • In a previous paper, we proposed a unique physically implemented type simulator for combinatorial optimization problems, called the spontaneous symmetry breaking machine (SSBM).

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.17922 [2] arXiv https://arxiv.org/abs/2512.17922 [3] Publisher https://arxiv.org/abs/2512.17922

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