4 papers
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…
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…
Spectral Gap Bounds for Quantum Markov Semigroups via Correlation Decay
Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández
Starting from an arbitrary full-rank state of a lattice quantum spin system, we define a "canonical purified Hamiltonian" and characterize its spectral gap in terms of a spatial mi…
Strong decay of correlations for Gibbs states in any dimension
Andreas Bluhm, Ángela Capel, Antonio Pérez-Hernández
Quantum systems in thermal equilibrium are described using Gibbs states. The correlations in such states determine how difficult it is to describe or simulate them. In this article…