4 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…
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…
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…