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- W4299319892 abstract "Grover's algorithm for quantum searching of a database is generalized to deal with arbitrary initial amplitude distributions. First order linear difference equations are found for the time evolution of the amplitudes of the r marked and N-r unmarked states. These equations are solved exactly. An expression for the optimal measurement time T sim O(sqrt{N/r}) is derived which is shown to depend only on the initial average amplitudes of the marked and unmarked states. A bound on the probability of measuring a marked state is derived, which depends only on the standard deviation of the initial amplitude distributions of the marked or unmarked states." @default.
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- W4299319892 date "1998-01-28" @default.
- W4299319892 modified "2023-09-27" @default.
- W4299319892 title "Generalized Grover Search Algorithm for Arbitrary Initial Amplitude Distribution" @default.
- W4299319892 doi "https://doi.org/10.48550/arxiv.quant-ph/9801066" @default.
- W4299319892 hasPublicationYear "1998" @default.
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