Andrey S. Plyashechnik

Spectral theory of energy-selective quantum search with Ising Hamiltonian phase oracles

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 directly as a continuous phase oracle. An energy-grouped recurrence and its generating-function solution sh...