403 citations
- Centre National de la Recherche ScientifiqueFR30 papers
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4 papers · 1 filter
The Quantum Adiabatic Algorithm applied to random optimization problems: the quantum spin glass perspective
Victor Bapst, Laura Foini, Florent Krzakala +2
Among various algorithms designed to exploit the specific properties of quantum computers with respect to classical ones, the quantum adiabatic algorithm is a versatile proposition…
Compressed Sensing of Approximately-Sparse Signals: Phase Transitions and Optimal Reconstruction
Jean Barbier, Florent Krzakala, Marc Mézard +1
Compressed sensing is designed to measure sparse signals directly in a compressed form. However, most signals of interest are only "approximately sparse", i.e. even though the sign…
Following states in temperature in the spherical s+p-spin glass model
YiFan Sun, Andrea Crisanti, Florent Krzakala +2
In many mean-field glassy systems, the low-temperature Gibbs measure is dominated by exponentially many metastable states. We analyze the evolution of the metastable states as temp…
On the relation between kinetically constrained models of glass dynamics and the random first-order transition theory
Laura Foini, Florent Krzakala, Francesco Zamponi
In this paper we revisit and extend the mapping between two apparently different classes of models. The first class contains the prototypical models described --at the mean-field l…