7 citations · 7 across the 2 of their papers we have counts for
3 papers
math-ph2011★ 7 cited
The weak localization for the alloy-type Anderson model on a cubic lattice
Zhenwei Cao, Alexander Elgart
We consider alloy type random Schrödinger operators on a cubic lattice whose randomness is generated by the sign-indefinite single-site potential. We derive Anderson localization f…
quant-ph2010
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…
math-ph2010
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…