28 July 2024 to 3 August 2024
Europe/London timezone

Initial tensor construction and dependence for tensor renormalization group

30 Jul 2024, 15:05
20m
Talk Algorithms and Artificial Intelligence Algorithms and artificial intelligence

Speaker

Katsumasa Nakayama (Riken)

Description

We propose a method for the construction of the initial tensor representation and its dependence on the tensor renormalization group (TRG). The TRG method is a numerical calculation technique that utilizes tensor network representations of physical quantities to investigate physical properties without encountering the sign problem.
To apply the TRG method, it is essential to make a typical (locally connected) tensor network suitable for recursive coarse-graining. In this talk, we present a systematic approach for translating a general tensor network into this typical tensor network. Additionally, we discuss the dependence on the details of the initial tensor network.

Primary author

Katsumasa Nakayama (Riken)

Co-author

Manuel Schneider (National Yang Ming Chiao Tung University (NYCU), Taiwan)

Presentation materials