7 papers
The quantum Almeida-Thouless line in the self-overlap-corrected quantum Sherrington-Kirkpatrick model
Chokri Manai, Simone Warzel
We present a complete analysis of the glass transition in the self-overlap-corrected Sherrington-Kirkpatrick (SK) model in a transverse magnetic field, also referred to as the quan…
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…
Lower bound on the mixing time of -spin glasses
Anouar Kouraich, Simone Warzel
We show that Glauber dynamics for -spin glass mixes exponentially slowly at inverse temperatures larger than a constant times for large enough . This is done…
The Quantum Random Energy Model is the Limit of Quantum -Spin Glasses
Anouar Kouraich, Chokri Manai, Simone Warzel
We consider the free energy of a class of spin glass models with -spin interactions in a transverse magnetic field. As , the infinite system-size free energy is…
Dynamical Localization for General Scattering Quantum Walks
Alain Joye, Andreas Schaefer, Simone Warzel
We consider quantum walks defined on arbitrary infinite graphs, parameterized by a family of scattering matrices attached to the vertices. Multiplying each scattering matrix by an…
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…