5 papers
Quantum-Inspired Algorithm for Classical Spin Hamiltonians Based on Matrix Product Operators
Ryo Watanabe, Joseph Tindall, Shohei Miyakoshi +1
We propose a tensor-network (TN) approach for solving classical optimization problems that is inspired by spectral filtering and sampling on quantum states. We first shift and scal…
Site-Order Optimization in the Density Matrix Renormalization Group via Multi-Site Rearrangement
Ryo Watanabe, Toshiya Hikihara, Hiroshi Ueda
In the approaches based on matrix-product states (MPSs), such as the density-matrix renormalization group (DMRG) method, the ordering of the sites crucially affects the computation…
Visualization of Entanglement Geometry by Structural Optimization of Tree Tensor Network
Toshiya Hikihara, Hiroshi Ueda, Kouichi Okunishi +2
In tensor-network analysis of quantum many-body systems, it is of crucial importance to employ a tensor network with a spatial structure suitable for representing the state of inte…
Improving accuracy of tree-tensor network approach by optimization of network structure
Toshiya Hikihara, Hiroshi Ueda, Kouichi Okunishi +2
Numerical methods based on tensor networks have been extensively explored in the research of quantum many-body systems in recent years. It has been recognized that the ability of t…
TTNOpt: Tree tensor network package for high-rank tensor compression
Ryo Watanabe, Hidetaka Manabe, Toshiya Hikihara +1
We have developed TTNOpt, a software package that utilizes tree tensor networks (TTNs) for quantum spin systems and high-dimensional data analysis. TTNOpt provides efficient and po…