4 papers · 1 filter
Static features from mixing in short- and long-range Lindbladians: Markov property and correlations
Paul Rosa-Ruiz, Matteo Scandi, Ãngela Capel +1
The classification of mixed-state phases requires criteria beyond two-point correlation functions, such as the decay of the mutual information (MI) and the conditional mutual infor…
Efficient and simple Gibbs state preparation of the 2D toric code via duality to classical Ising chains
Pablo Páez-Velasco, Niclas Schilling, Samuel O. Scalet +2
We introduce the notion of polynomial-depth duality transformations, which relates two sets of operator algebras through a conjugation by a poly-depth quantum circuit, and make use…
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…
Stability of thermal equilibrium in long-range quantum systems
Tim Möbus, Jorge Sánchez-Segovia, Ãlvaro M. Alhambra +1
Experimental realizations of spin models are irremediably prone to errors, which can propagate through the system corrupting experimental signals. We study how such errors affect t…