Research output: Contribution to journal › Article

Journal | Physics D: Nonlinear Phenomena |
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Date | Published - 15 Jun 2008 |

Issue number | 8 |

Volume | 237 |

Number of pages | 5 |

Pages (from-to) | 1074-1078 |

Original language | English |

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.

- quantum search, amplitude amplification, entanglement

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