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…