207 citations · 827 across the 40 of their papers we have counts for
5 papers · 1 filter
Anderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method
Alexander Elgart, Martin Tautenhahn, Ivan Veselic'
A technically convenient signature of Anderson localization is exponential decay of the fractional moments of the Green function within appropriate energy ranges. We consider a ran…
Adiabatic quantum computation: Enthusiast and Sceptic's perspectives
Zhenwei Cao, Alexander Elgart
Enthusiast's perspective: We analyze the effectiveness of AQC for a small rank problem Hamiltonian with the arbitrary initial Hamiltonian . We prove that for the generic…
On the efficiency of Hamiltonian-based quantum computation for low-rank matrices
Zhenwei Cao, Alexander Elgart
We present an extension of Adiabatic Quantum Computing (AQC) algorithm for the unstructured search to the case when the number of marked items is unknown. The algorithm maintains t…
Anomalous decay of a prepared state due to non-Ohmic coupling to the continuum
Itamar Sela, James Aisenberg, Tsampikos Kottos +2
We study the decay of a prepared state into a continuum {E_k} in the case of non-Ohmic models. This means that the coupling is with $s \ne…
An Adiabatic Theorem for Resonances
Alexander Elgart, George Hagedorn
We prove a robust extension of the quantum adiabatic theorem. The theorem applies to systems that have resonances instead of bound states, and to systems for which just an approxim…