Related papers: An Algorithm to Speed Up Quantum Search

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This paper has been withdrawn due to security loophole. We thank Dr G. P. he for pointing this to us.

The paper was withdrawn by the author. It contained various errors.

Quantum random walks on graphs have been shown to display many interesting properties, including exponentially fast hitting times when compared with their classical counterparts. However, it is still unclear how to use these novel…

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This paper has been withdrawn by the authors because the paper is largely revised and improved, and to appear in Mechanics Research Communications.

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This paper has been withdrawn by Christino Tamon and Tomoyuki Yamakami because of errors of the main theorems. An erratum appeared in the Proceedings of the UMC 2000 Conference published by Springer.

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