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- W2013304047 abstract "We investigate the necessary and sufficient conditions in order that a unitary operator can amplify a pre-assigned component relative to a particular basis of a generic vector at the expense of the other components. This leads to a general method which allows, given a vector and one of its components we want to amplify, to choose the optimal unitary operator which realizes that goal. Grover's quantum algorithm is shown to be a particular case of our general method. However the general structure of the unitary we find is remarkably similar to that of Grover's one: a sign flip of one component combined with a reflection with respect to a vector. In Grover's case this vector is fixed; in our case it depends on a parameter and this allows optimization." @default.
- W2013304047 created "2016-06-24" @default.
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- W2013304047 date "2000-12-27" @default.
- W2013304047 modified "2023-09-27" @default.
- W2013304047 title "A Generalization of Grover's Algorithm" @default.
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