Related papers: Gallager Bound of Classical-Quantum Channel Coding

In this paper, lower bounds on error probability in coding for discrete classical and classical-quantum channels are studied. The contribution of the paper goes in two main directions: i) extending classical bounds of Shannon, Gallager and…

Due to a computational mistake this paper has been withdrawn.

This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.

This paper has been withdrawn by the author because there is a gap in Lemma 9.

Paper withdrawn, see math-ph/0505072

This paper was withdrawn by the author due to a fatal error.

This preprint has been withdrawn.

This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.

This paper has been withdrawn by the author due to a crucial error.

This paper was withdrawn as it may have appeared elsewhere, although in a different form.

This paper has been withdrawn by the author due to a crucial sign error in equation 1

This paper has been withdrawn due to crucial errors.

This paper has been withdrawn by the author due to a crucial sign error in some equations

%auto-ignore This paper has been withdrawn by the author, due to a crucial error.

This paper has been withdrawn by the author due to an error in the proof of Proposition 4.8.

The paper has been withdrawn by change of content and some errors in the examples.

This paper has been withdrawn by the author(s), due a crucial sign error in Thm. 11.

This paper is incorrect, and has been withdrawn by the author.

This paper is withdrawn. We found a mistake in Lemma 4.1

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.