Related papers: Quantum algorithm for the longest common subsequen…

The paper has been withdrawn due to numerical error.

The paper has been withdrawn by the author because the result obtained has been reported earlier by other authors.

This paper has been withdrawn by the author due to a crucial problem in Lemma 3. This equation must be changed.

This paper has been withdrawn by the author due to a error in attachment of source file.

This paper has been withdrawn because of serious errors.

This paper has been retracted, for obvious reasons.

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn by the author.

This article has been withdrawn by the authors.

This paper has been withdrawn by the author due to a crucial sign error in equation 1

This paper has been withdrawn by the author due to a serious mistake on Lemma 2.4.

This paper has been withdrawn by the author due to a crucial error in equation.

This paper has been withdrawn. The main technical result will reappear in the new version of quant-ph/0501003.

This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.

This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.

This paper has been withdrawn by the authors due to a fatal flaw in the central proof.

This paper has been withdrawn by the author(s), due to some technical problem.

This paper was withdrawn by the author. It turns out that similar ideas have been presented before. The author apologizes.

The paper was retracted.

This paper has been withdrawn by the author.