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Modified logarithmic Sobolev inequalities for Abelian quantum double models
Sebastian Stengele, Ángela 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-Llinàs, Álvaro M. Alhambra, David Pérez-García +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…
Modified logarithmic Sobolev inequalities for CSS codes
Sebastian Stengele, Ángela Capel, Li Gao +5
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…