18 citations · 56 across the 6 of their papers we have counts for
4 papers · 1 filter
The minimal canonical form of a tensor network
Arturo Acuaviva, Visu Makam, Harold Nieuwboer +4
Tensor networks have a gauge degree of freedom on the virtual degrees of freedom that are contracted. A canonical form is a choice of fixing this degree of freedom. For matrix prod…
Dynamical quantum phase transitions from random matrix theory
David Pérez-García, Leonardo Santilli, Miguel Tierz
We uncover a novel dynamical quantum phase transition, using random matrix theory and its associated notion of planar limit. We study it for the isotropic XY Heisenberg spin chain.…
Matrix Product Operator Algebras II: Phases of Matter for 1D Mixed States
Alberto Ruiz-de-Alarcón, José Garre-Rubio, András Molnár +1
The classification of topological phases of matter is fundamental to understand and characterize the properties of quantum materials. In this paper we study phases of matter in one…
Matrix product operator algebras I: representations of weak Hopf algebras and projected entangled pair states
Andras Molnar, Alberto Ruiz de Alarcón, José Garre-Rubio +3
Matrix Product Operators (MPOs) are tensor networks representing operators acting on 1D systems. They model a wide variety of situations, including communication channels with memo…