Geometric pictures for quantum search algorithms

Geometric pictures for quantum search algorithms In this paper, we give the geometric pictures for quantum search algorithms in decomposed form, namely in terms of a phase rotation of the marked state and a phase rotation about the average. We apply this formalism to various quantum search algorithms, and give explicit interpretations of the standard Grover algorithm, arbitrary phase rotations, phase matching and fixed-point search algorithm. The pictures straightforwardly show how state vectors evolve during the search process. These results are helpful in understanding how the quantum search algorithms work. Quantum Information Processing Springer Journals

Geometric pictures for quantum search algorithms

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Springer US
Copyright © 2011 by Springer Science+Business Media, LLC
Physics; Physics, general; Theoretical, Mathematical and Computational Physics; Quantum Physics; Computer Science, general; Mathematics, general
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  • Phase matching condition for quantum search with a generalized initial state
    Long, G.L.
  • Experimental NMR realization of a generalized quantum search algorithm
    Long, G.L.
  • Entanglement in the Grover search algorithm
    Fang, Y.; Kaszlikowski, D.; Chin, C.; Tay, K.; Kwek, L.C.; Oh, C.H.
  • Fixed-point quantum search for different phase shifts
    Li, D.; Li, X.; Huang, H.; Li, X.

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