Related papers: Gallager Bound of Classical-Quantum Channel Coding

This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.

The paper has been withdrawn by the author because the result obtained has been reported earlier by other authors.

This paper has been withdrawn by the author. The central result is now included in quant-ph/0309056 (as in the journal publication!). An erratum on the Heisenberg perturbation series estimate is also included therein.

This paper has been withdrawn by the authors due to a mistake in the proof of Theorem 1.

This paper has been withdrawn by the author due to some mistakes

This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial

This paper has been withdrawn by the author due to a crucial error in several equations.

This paper has been withdrawn since it was an inadvertant double submission.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This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.

The paper has been withdrawn by the author due to unhappy mistake in the initial scope of the work.

This paper has been withdrawn by the author due to a crucial errors.

This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

This paper has been withdrawn by the authors, due to a crucial error.

This paper has been retracted, for obvious reasons.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author(s), due a mistake of factor 1/2.

This paper has been withdrawn due to a error in Theorem 3.1.

This paper was withdrawn by the authors. Lemma 5.1 is wrong.

The paper was withdrawn because of its significant overlap with a paper appeared recently.

This paper has been withdrawn due to that the same conclusion has been proposed before.