Enhanced quantum searching via entanglement and partial diffusion

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JournalPhysics D: Nonlinear Phenomena
DatePublished - 15 Jun 2008
Issue number8
Volume237
Number of pages5
Pages (from-to)1074-1078
Original languageEnglish

Abstract

In this paper, we will define a quantum operator that performs the standard inversion about the mean only on a subspace of the system (Partial Diffusion Operator). This operator is used together with entanglement in a quantum search algorithm that runs in O(root N/M) for searching an unstructured list of size N with M matches such that 1 <= M <= N. We will show that the performance of the algorithm is more reliable than known fixed operators quantum search algorithms especially for multiple matches where we can get a solution after a single iteration with probability over 90% if the number of matches is approximately more than one-third of the search space. We will show that the algorithm will be able to handle the case where the number of matches M is unknown in advance in O(root N/M) such that 1 <= M <= N. (C) 2007 Elsevier B.V. All rights reserved.

    Research areas

  • quantum search, amplitude amplification, entanglement

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