11 papers
Haah's 3D cubic code thermalizes rapidly
Sebastian Stengele, Libor Caha, Ángela Capel +1
Haah's 3D cubic code was introduced as a candidate for a self-correcting quantum memory in three dimensions, using the absence of string logical operators to obstruct thermal error…
Correlation inequalities for transversal field models with application to quantum glasses
Chokri Manai, Simone Warzel
We study the class of transversal field models with pair interactions, including the quantum Curie-Weiss and the transversal field Ising model, as well as quantum spin glasses base…
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 qu…
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…
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…
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, 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…
Dynamical Phase Diagram of the REM under independent spin-flips
Chokri Manai, Simone Warzel
We study the energy landscape of the Random Energy model (REM) integrated along trajectories of the simple random walk on the hypercube. We show that the quenched cumulant generati…
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…
A Parisi Formula for Quantum Spin Glasses
Chokri Manai, Simone Warzel
We establish three equivalent versions of a Parisi formula for the free energy of mean-field spin glasses in a transversal magnetic field. These results are derived from available…
Decoherence is an echo of Anderson localization in open quantum systems
Frederik Ravn Klausen, Simone Warzel
We study the time evolution of single-particle quantum states described by a Lindblad master equation with local terms. By means of a geometric resolvent equation derived for Lindb…