Quantum Information Journal Club: ‘Generalizing the framework of translationally invariant MPS’
February 25 | 11:30 - 12:30
Speaker: Marta Florido Llinás (MPQ)
Title: ‘Generalizing the framework of translationally invariant MPS’
Abstract: In this talk I will present our recent work on developing a canonical form for uniform matrix product states (MPS) with a boundary matrix (https://www.arxiv.org/abs/2512.11968). Starting from the standard canonical description of uniform MPS with periodic boundary conditions, I will explain how to derive a generalized canonical form for MPS with boundaries, by extending the structural analysis of matrix sets to incorporate off-diagonal blocks, and by introducing some notions inspired by formal language theory.