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Anderson localization casts clouds over adiabatic quantum optimization
Boris Altshuler, Hari Krovi, Jeremie Roland
Understanding NP-complete problems is a central topic in computer science. This is why adiabatic quantum optimization has attracted so much attention, as it provided a new approach…
BCS superconductivity in metallic nanograins: Finite-size corrections, low energy excitations, and robustness of shell effects
Antonio M. Garcia-Garcia, Juan Diego Urbina, Emil A. Yuzbashyan +2
We combine the BCS self-consistency condition, a semiclassical expansion for the spectral density and interaction matrix elements to describe analytically how the superconducting g…
Ordered states of adatoms on graphene
Vadim V. Cheianov, Olav Syljuasen, Boris L. Altshuler +1
We show that a dilute ensemble of epoxy-bonded adatoms on graphene has a tendency to form a spatially correlated state accompanied by a gap in graphene's electron spectrum. This ef…
Adiabatic quantum optimization fails for random instances of NP-complete problems
Boris Altshuler, Hari Krovi, Jeremie Roland
Adiabatic quantum optimization has attracted a lot of attention because small scale simulations gave hope that it would allow to solve NP-complete problems efficiently. Later, nega…
Partial Kekule Ordering of Adatoms on Graphene
V. V. Cheianov, V. I. Fal'ko, O. Syljuasen +1
Electronic and transport properties of Graphene, a one-atom thick crystalline material, are sensitive to the presence of atoms adsorbed on its surface. An ensemble of randomly posi…
Decoherence in qubits due to low-frequency noise
J Bergli, Y M Galperin, B L Altshuler
The efficiency of the future devices for quantum information processing is limited mostly by the finite decoherence rates of the qubits. Recently a substantial progress was achieve…