Related papers: Quantum algorithm for the longest common subsequen…

This paper has been withdrawn since it was an inadvertant double submission. An updated version of the original submission can be found at quant-ph/0505131

This paper has been withdrawn by the authors due to an error.

This paper has been withdrawn by the author(s), due a crucial i-number error in Eqn. 18.

Withdrawn by arXiv administration because authors have forged affiliations and acknowledgements, and have not adequately responded to charges [hep-th/9912039] of unattributed use of verbatim material.

This paper has been withdrawn by the author due to a crucial sign error in equation (5).

This paper has been withdrawn

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.

The paper has been withdrawn.

This paper has been withdrawn by the author due to a crucial sign error in Proposition 3.1.

The computer code on which this paper relied contained an error. When corrected, the Monte Carlo evaluation of the ground state occupation is consistent with the conventional grand canonical calculation. Hence, the original version of this…

This paper has been withdrawn by the author, due to possible counter-examples.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdraw by the auhor due to a mistake in classification of the algebra

The paper has been withdrawn by the autors. The proposed code is not working because orthogonality.

This paper has been withdrawn by the author due to a crucial sign error in equation 1

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.

This paper has been withdrawn by the author due to a crucial error in the formulation.

This paper has been withdrawn by the author due to a crucial errors.

The effect of the random quantum transverse field $\Omega$