Matrix product states generating the same state

Description

Tensor networks are generated by a set of small rank tensors and define many-body quantum states in a succinct form. The corresponding map is not one-to-one: different sets of tensors may generate the very same state. A fundamental question in the study of tensor networks naturally arises: what is then the relation between those sets? The answer to this question has several applications, like the characterization of local and global symmetries, the classification of phases of matter and unitary evolutions, or the determination of the fixed points of renormalization procedures. In this talk I will focus on one dimensional systems and show how to derive the answer in a particular setup.

Period	1 Mar 2024
Held at	Universidad Complutense de Madrid, Spain
Degree of Recognition	International