2003/03/31 by A. Gendiar, Andrej Gendiar, Nobuya Maeshima +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Optimization Algorithms Research #Ising model #Lattice (music) #Markov Chains and Monte Carlo Methods #Maximization #Partition function (quantum field theory) #Product (mathematics) #Quantum Computing Algorithms and Architecture #Stability (learning theory) #Tensor product #Variational method #cond-mat.stat-mech
paper · pdf · doi:10.1143/ptp.110.691
published as Prog. Theor. Phys. 110, No. 4 (2003) 691 · 9 pages, 5 figures, in LaTex2e style. accepted for publication in Prog. Theor. Phys. 110
openalex publication_date 2003/10/01 · arxiv created 2003/10/14 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider a variational problem for three-dimensional (3D) classical lattice models. We construct the trial state as a two-dimensional product of local variational weights that contain auxiliary variables. We propose a stable numerical algorithm for the maximization of the variational partition function per layer. The numerical stability and efficiency of the new method are examined through its application to the 3D Ising model.