Welcome to YITP International Workshop Led by Young Researchers "Recent Developments and Challenges in Tensor Networks: Algorithms,
Applications to science, and Rigorous theories", July 28 - August 8 2025, at Yukawa Institute for Theoretical Physics, Kyoto, Japan
Tensor Network has been developed as a tool for efficient numerical computations in quantum many-body physics and statistical mechanics. In particular, for one-dimensional systems, algorithms such as the Density Matrix Renormalization Group (DMRG) and Time-Evolving Block Decimation (TEBD), have achieved remarkable success in computing ground states and low-lying excited states of quantum systems and their short-time dynamics. Furthermore, tensor networks can also represent quantum operators efficiently. Beyond the role of powerful numerical tools, tensor networks are also recognized as an essential theoretical framework that naturally captures locality in many-body systems. Despite being actively researched, many unresolved problems remain, such as more efficient algorithms for contraction and rigrous theoretical understanding in higher dimensions.
Against this background, the purpose of this workshop is primarily threefold: (i) to discuss the development of cutting-edge algorithms for the tensor network method, (ii) to deepen the understanding of rigorous results and fundamental limitations of tensor network techniques, and (iii) to provide opportunities to expand application fields and collaborations across various fields.