Simulated Bifurcation Quantum Annealing

Fuente: arXiv
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Autori principali: Pawłowski, Jakub, Tarasiuk, Paweł, Tuziemski, Jan, Pawela, Łukasz, Gardas, Bartłomiej
Natura: Preprint
Pubblicazione: 2026
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author Pawłowski, Jakub
Tarasiuk, Paweł
Tuziemski, Jan
Pawela, Łukasz
Gardas, Bartłomiej
author_facet Pawłowski, Jakub
Tarasiuk, Paweł
Tuziemski, Jan
Pawela, Łukasz
Gardas, Bartłomiej
contents We introduce Simulated Bifurcation Quantum Annealing (SBQA), a quantum-inspired optimization algorithm that extends simulated bifurcation by incorporating inter-replica interactions to mimic quantum tunneling. SBQA retains the efficiency and parallelism of simulated bifurcation while improving performance on sparse and rugged energy landscapes. We derive its equations of motion, analyze parameter dependence, and propose a lightweight auto-tuning strategy. A comprehensive benchmarking study on both large-scale problems and smaller instances relevant for current quantum hardware shows that SBQA systematically improves on SBM in the sparse and rugged regimes where SBM is known to struggle, while remaining competitive and versatile across a diverse set of tested problem families. These results position SBQA as a practical quantum-inspired optimization heuristic and a stronger classical baseline for the sparse and rugged regimes studied here.
format Preprint
id arxiv_https___arxiv_org_abs_2604_01050
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Simulated Bifurcation Quantum Annealing
Pawłowski, Jakub
Tarasiuk, Paweł
Tuziemski, Jan
Pawela, Łukasz
Gardas, Bartłomiej
Quantum Physics
Computational Physics
We introduce Simulated Bifurcation Quantum Annealing (SBQA), a quantum-inspired optimization algorithm that extends simulated bifurcation by incorporating inter-replica interactions to mimic quantum tunneling. SBQA retains the efficiency and parallelism of simulated bifurcation while improving performance on sparse and rugged energy landscapes. We derive its equations of motion, analyze parameter dependence, and propose a lightweight auto-tuning strategy. A comprehensive benchmarking study on both large-scale problems and smaller instances relevant for current quantum hardware shows that SBQA systematically improves on SBM in the sparse and rugged regimes where SBM is known to struggle, while remaining competitive and versatile across a diverse set of tested problem families. These results position SBQA as a practical quantum-inspired optimization heuristic and a stronger classical baseline for the sparse and rugged regimes studied here.
title Simulated Bifurcation Quantum Annealing
topic Quantum Physics
Computational Physics
url https://arxiv.org/abs/2604.01050