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Ising-machine-like Driving Condition Restrictions in SSBM and Additional Pseudo-annealing- Driving Method for SSBM that Achieves Best Cut Value Search - — arXiv:2608.12545

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.12545
License (as archived): CC0-1.0
Archived: 2026-10-19T05:05:23.625Z
SHA-256 of the archived text: 930b6451335501dfa5cfb9a0586952547d3e2c9646adc0270fa91a5ff9a7f2f0
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How to cite

Ising-machine-like Driving Condition Restrictions in SSBM and Additional Pseudo-annealing- Driving Method for SSBM that Achieves Best Cut Value Search - — arXiv:2608.12545 — arXiv (en), https://arxiv.org/abs/2608.12545 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_5259f393b568 (Metraipolis archive dc_5259f393b568, sha256 930b6451335501dfa5cfb9a0586952547d3e2c9646adc0270fa91a5ff9a7f2f0)

BibTeX

@misc{dc5259f393b568,
  title = {Ising-machine-like Driving Condition Restrictions in SSBM and Additional Pseudo-annealing- Driving Method for SSBM that Achieves Best Cut Value Search - — arXiv:2608.12545},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.12545},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_5259f393b568; sha256 930b6451335501dfa5cfb9a0586952547d3e2c9646adc0270fa91a5ff9a7f2f0},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.12545. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In our previous paper, we described the proposal and validation of a new physical implementation-type simulator (spontaneous symmetry breaking machine (SSBM)) for a combinatorial optimization problem that utilizes a phenomenon dual to the model in which a pseudo-spin many-body system is created by spontaneous symmetry breaking. Furthermore, we performed numerical simulations with different initial fluctuations on a large-scale benchmark problem (K_{2000}) and reported that we identified a condition under which pseudo-spin patterns gradually converge during the solution search process to ultimately form a single pattern and that the cut value of this converged solution reached 99.7% of the known best. In this paper, we discuss the conditions under which the SSBM can exhibit behavior analogous to that of a continuous-variable-type Ising machine, and report that by adding an effect similar to physical annealing to these conditions, the SSBM can be made to search for the best known cuts in K_{2000}.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-14 in quant-ph).
Categorie arXiv: Optics (physics.optics) ; Mathematical Physics (math-ph); Adaptation and Self-Organizing Systems (nlin.AO); Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2608.12545 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-19T04:54:42.544Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-08-14?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).