By comparing classical and quantum Monte Carlo annealing protocols on the two-dimensional random Ising model (a prototype spin glass), this work confirms the superiority of quantumAnnealing relative to classical annealed and proposes a theory of quantum annealer based on a cascade of Landau-Zener tunneling events.Expand

First-principles calculations used to investigate the electronic properties of the surfaces of polyethylene support the experimental evidence of a negative electron affinity, and implications on spectroscopy, as well as on the transport and aging properties ofpolyethylene for high-voltage applications, are discussed.Expand

We review here some recent work in the field of quantum annealing, alias adiabatic quantum computation. The idea of quantum annealing is to perform optimization by a quantum adiabatic evolution which… Expand

The quantum annealing scheme, even with a drastically simple form of kinetic energy, appears definitely superior to the classical one, when tested on a 1002-city instance of the standard TSPLIB.Expand

The findings show that Thouless pumping out of the adiabatic limit is not generically robust to nonadiabatic effects and the Floquet diagonal ensemble value of the pumped charge shows a deviation from the topologically quantized limit.Expand

This work explores the ultimate limit in paradigmatic cases of optimal control theory, and demonstrates that it coincides with the maximum speed limit allowed by quantum evolution.Expand

Quantum annealing was recently found experimentally in a disordered spin- magnet to be more effective than its classical, thermal counterpart. We use the random two-dimensional Ising model as a test… Expand

The path integral Monte Carlo simulated quantum annealing algorithm is applied to the optimization of a large hard instance of the random satisfiability problem and a quantum cooling protocol based on field-cycling and able to outperform standard classical simulatedAnnealing over short time scales is introduced.Expand

We introduce and study the adiabatic dynamics of free-fermion models subject to a local Lindblad bath and in the presence of a time-dependent Hamiltonian. The merit of these models is that they can… Expand