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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 show how the empirical
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