18 citations · 31 across the 6 of their papers we have counts for
6 papers
Renormalization flows for 1D mixed states and a quantum Goursat lemma
Léo Le-Nestour, David Pérez-García, Alberto Ruiz-de-Alarcón
Renormalization provides a framework for relating microscopic models of physical systems to effective descriptions at larger length scales. This procedure is studied for the bounda…
Haag Duality for 2D Quantum Spin Systems
Yoshiko Ogata, David Pérez-García, Alberto Ruiz-de-Alarcón
Haag duality is a fundamental locality property introduced in the pioneering formulation of algebraic quantum field theory by Haag and Kastler in the 1960s. Since then, it has play…
Parent Lindbladians for Matrix Product Density Operators
Yuhan Liu, Alberto Ruiz-de-Alarcón, Georgios Styliaris +3
Understanding quantum phases of matter is a fundamental goal in physics. For pure states, the representatives of phases are the ground states of locally interacting Hamiltonians, w…
Conditional Independence of 1D Gibbs States with Applications to Efficient Learning
Álvaro M. Alhambra, Ángela Capel, Paul Gondolf +2
We show that spin chains in thermal equilibrium have a correlation structure in which individual regions are strongly correlated at most with their near vicinity. We quantify this…
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…