TTNOpt: Tree tensor network package for high-rank tensor compression
Ryo Watanabe, Hidetaka Manabe, Toshiya Hikihara, Hiroshi Ueda

TL;DR
TTNOpt is a software package that uses tree tensor networks for efficient quantum state analysis and high-dimensional data tensor factorization, revealing entanglement patterns and hidden correlations.
Contribution
It introduces a versatile TTN-based tool for quantum ground state search and tensor data analysis, optimizing network structures based on entanglement patterns.
Findings
Successfully identified ground state tree structures in a 256-site model
Effectively factorized a 2^{24}-dimensional tensor with weak correlations
Reconstructed matrix networks to reveal hidden variable correlations
Abstract
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 powerful TTN computations by locally optimizing the network structure, guided by the entanglement pattern of the target tensors. For quantum spin systems, TTNOpt searches for the ground state of Hamiltonians with bilinear spin interactions and magnetic fields, and computes physical properties of these states, including the variational energy, bipartite entanglement entropy (EE), single-site expectation values, and two-site correlation functions. Additionally, TTNOpt can target the lowest-energy state within a specified subspace, provided that the Hamiltonian conserves total magnetization. For high-dimensional data analysis, TTNOpt factorizes complex tensors into TTN states that maximize fidelity to the original…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum many-body systems · Quantum Computing Algorithms and Architecture · Quantum Information and Cryptography
