1 citations · 1 across the 3 of their papers we have counts for
4 papers
Modified logarithmic Sobolev inequalities for Abelian quantum double models
Sebastian Stengele, Ãngela Capel, Li Gao +5
We establish rapid mixing for Davies Markov semigroups associated with 2D Abelian quantum double models at any positive temperature. A condition of Dobrushin-Shlosman (DS) type hol…
Uniform matrix product states with a boundary
Marta Florido-Llinà s, Ãlvaro M. Alhambra, David Pérez-GarcÃa +1
Canonical forms are central to the analytical understanding of tensor network states, underpinning key results such as the complete classification of one-dimensional symmetry-prote…
Haag Duality for 2D Quantum Spin Systems
Yoshiko Ogata, David Pérez-GarcÃa, 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…
Modified logarithmic Sobolev inequalities for CSS codes
Sebastian Stengele, Ãngela Capel, Ángela Capel +9
We consider the class of Davies quantum semigroups modelling thermalization for translation-invariant Calderbank-Shor-Steane (CSS) codes in D dimensions. We prove that conditions o…