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111 papers · 1 filter
Evaluating the solution performance of the augmented Lagrangian function on Ising machines
Shunsuke Awai, Takuro Itoh, Keita Takahashi +2
We apply the augmented Lagrangian function (ALF) as a formulation for Ising machines and evaluate its performance by time-to-epsilon (\mathrm{TT\varepsilon}). The ALF has been well…
Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model
Tetsuro Abe, Kanta Hino, Shu Tanaka
Error-mitigation methods for Ising machines are reexamined not merely as noise-suppression techniques but as a structural design problem of replica-coupled Ising models. Using simu…
Tensor Renormalization Group Calculations of Partition-Function Ratios
Satoshi Morita, Naoki Kawashima
The behavior of dimensionless quantities defined as ratios of partition functions is analyzed to investigate phase transitions and critical phenomena. At criticality, the universal…
Evaluating the Performance of Direct Higher-Order Formulations in Combinatorial Optimization Problems
Kazuki Ikeuchi, Yoshiki Matsuda, Shu Tanaka
Ising machines, including quantum annealing machines, are promising next-generation computers for combinatorial optimization problems. However, due to hardware limitations, most Is…
Anomalous statistics in the Langevin equation with fluctuating diffusivity: from Brownian yet non-Gaussian diffusion to anomalous diffusion and ergodicity breaking
Takuma Akimoto, Jae-Hyung Jeon, Ralf Metzler +3
Diffusive motion is a fundamental transport mechanism in physical and biological systems, governing dynamics across a wide range of scales -- from molecular transport to animal for…
Frustration-enhanced quantum annealing correction models with additional inter-replica interactions
Tomohiro Hattori, Shu Tanaka
Quantum annealing correction (QAC) models provide a promising approach for mitigating errors in quantum annealers. Previous studies have established that QAC models are crucial for…