4 papers
Universal Information-Theoretic Structure of the Quasi-Stationary Domany--Kinzel Automaton
Hyun-Yong Lee, Kenji Harada, Naoki Kawashima
We characterize the quasi-stationary distribution (QSD) of the bond directed-percolation line of the Domany--Kinzel automaton using a matrix-product-state representation of the pro…
Lattice-reflection symmetry in tensor-network renormalization group with entanglement filtering in two and three dimensions
Xinliang Lyu, Naoki Kawashima
Tensor-network renormalization group (TNRG) is an efficient real-space renormalization group method for studying the criticality in both classical and quantum lattice systems. Expl…
Essential difference between 2D and 3D from the perspective of real-space renormalization group
Xinliang Lyu, Naoki Kawashima
We point out that area laws of quantum-information concepts indicate limitations of block transformations as well-behaved real-space renormalization group (RG) maps, which in turn…
Three-dimensional real space renormalization group with well-controlled approximations
Xinliang Lyu, Naoki Kawashima
We make Kadanoff's block idea into a reliable three-dimensional (3D) real space renormalization group (RG) method. Kadanoff's idea, expressed in spin representation, offers a quali…