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arXiv · 1808.03347

The parallel Grover as dynamic system

Alexander Goscinski
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Abstract

A sequential application of the Grover algorithm to solve the iterated search problem has been improved by Ozhigov by parallelizing the application of the oracle. In this work a representation of the parallel Grover as dynamic system of inversion about the mean and Grover operators is given. Within this representation the parallel Grover for $k = 2$ can be interpreted as rotation in three-dimensional space and it can be shown that the sole application of the parallel Grover operator does not lead to a solution for $k > 2$. We propose a solution for $k = 3$ with a number of approximately $1.51\sqrt{N}$ iterations.

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Alexander Goscinski. 2018-08-09. The parallel Grover as dynamic system. https://arxiv.org/abs/1808.03347

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