Related papers: Gallager Bound of Classical-Quantum Channel Coding

This paper has been withdrawn by the author, due a crucial error in the optimization. For the last one month I have been trying to remove the error, but it seems to take a lot of time so I decided to withdraw this paper for the moment.

This paper has been withdrawn by the author due to an error in the proof.

This paper has been withdrawn due to fundamental errors.

This paper has been withdrawn because of serious errors.

This paper has been withdrawn by the author due to a crucial error in equation (51).

This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.

This paper has been withdrawn.

This paper has been withdrawn by the author due to errors.

This paper has been withdrawn by the author because in the main text some discussion parts were inadvertently added by mistake.

This paper has been withdrawn by the author(s), due a crucial i-number error in Eqn. 18.

This paper has been withdrawn by the author due to an error in Lemma 3, making the (bijective) proof of Theorem 4 and Corollary 5 invalid (symmetry of k-nonnesting and k-noncrossing set partitions).

This paper has been withdrawn by the author due to a crucial argument error at p.10.

This paper has been withdrawn by the authors due to some technical problems in the paper.

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

This paper is wrong and is therefore withdrawn.

This paper has been withdrawn by the authors due to need of essential revision.

This paper is withdrawn. See quant-ph/9806031 for a discussion.

This paper has been withdrawn by the author due to a crucial error in eq.59. I apologize for the inconveniences.

This paper has been withdrawn by the author since the proof of Lemma 8 is not correct.

The paper was retracted.