Related papers: Chen and Diao's quantum search algorithm is not ex…
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This paper has been withdrawn by the author, due a crucial error in Eq. 6.
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In this paper, we will use a quantum operator which performs the inversion about the mean operation only on a subspace of the system ({\it Partial Diffusion Operator}) to propose a quantum search algorithm runs in $O(\sqrt N/M})$ for…
Quantum search is among the most important algorithms in quantum computing. At its core is quantum amplitude amplification, a technique that achieves a quadratic speedup over classical search by combining two global reflections: the oracle,…
This paper has been withdrawn because the content has been substantially improved in a later paper, arXiv:0806.1165.
An important method for search engine result ranking works by finding the principal eigenvector of the "Google matrix." Recently, a quantum algorithm for preparing this eigenvector and evidence of an exponential speedup for some scale-free…
This paper has been withdrawn at the request of one of the authors.
This paper has been withdrawn by the authors, due to a crucial error in beta functions.
This paper has been withdrawn by the author due to inconsistency of the considered working hypothesis. The consistent treatment is presented in the last publications of the author.
This paper has been withdrawn by the author.
This paper has been withdrawn by the author.
This paper has been withdrawn by the author due to a error in attachment of source file.