Related papers: Quantum Bit Commitment from a Computation Bound

This paper has been withdrawn by the author, due to necessity of revision.

This paper has been withdrawn by the author due to similarity to Author's other paper

This paper is an essentially self-contained and rigorous description of the fundamental principles of quantum computing from a mathematical perspective. It is intended to help mathematicians who want to get a grasp of this quickly growing…

This paper has been withdrawn by the authors due to substantial changes.

This paper has been withdrawn by the authour.

This paper has been withdrawn by the author because the conclusions reached in it are incorrect.

This paper has been withdrawn by the author; see the much expanded, improved, and generalized version at arXiv:0811.2080.

This paper has been withdrawn.

This paper has been withdrawn while the author verifies the literature.

This paper has been withdrawn by Christino Tamon and Tomoyuki Yamakami because of errors of the main theorems.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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This paper is withdrawn by the author. See math.GT/9811093 for replacement.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author(s), due a crucial error on the entanglement of $\Gamma$ registers.

This paper has been withdrawn by the authors.

The paper has been withdrawn by the author.

This paper has been withdrawn by the authors; replaced by arXiv:0705.2531v2 [quant-ph].

There have been comments on the starting paper, hep-th/0106074, which point out unclear motivation and definitions on noncommutative momentum introduced. Thus, this paper is withdrawn by the author for more clear presentation.

This paper has been withdrawn. The results are now part of math.GR/9804072.

This paper has been withdrawn by the author.