20 citations · 20 across the 2 of their papers we have counts for
2 papers
quant-ph2026
Spectral theory of energy-selective quantum search with Ising Hamiltonian phase oracles
A. S. Plyashechnik, A. A. Zhukov, A. V. Lebedev +1
We develop an exact spectral-response theory for the Grover-type iterate \(W_T=D_ξ\exp(-\ii T H)\), in which the evolution generated by a diagonal Ising Hamiltonian is used directl…
quant-ph2022★ 20 cited
Depth analysis of variational quantum algorithms for heat equation
N. M. Guseynov, A. A. Zhukov, W. V. Pogosov +1
Variational quantum algorithms are a promising tool for solving partial differential equations. The standard approach for its numerical solution are finite difference schemes, whic…