Related papers: Error Exponents in Quantum Hypothesis Testing

This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.

This paper has been withdrawn by the author, due to a crucial error in page 5.

This paper has been withdrawn by the author. Lemma 8 is used in the proof of Lemma 6, but it is not correct. Lemma 6 is essential for the main results.

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

This paper has been withdrawn by the author, due a critical mistake on page 3.

This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2

This paper has been withdrawn by the author. There is an error on page 3 in the last inequality before Lemma 1.1.

This paper is withdrawn because of an error in Lemma 3.1

This paper has been withdrawn by the author due to extremely unscientific errors.

This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.

This paper has been withdrawn by the author due to a serious mistake on Lemma 2.4.

This paper has been withdrawn by the author due to the incorrect argument for the security.

This paper has been withdrawn due to a crucial theoretical error.

This paper has been withdrawn by the author due to a crucial sign error in Theorem 3.4.

This paper has been withdrawn by the author due to a crucial problem in Lemma 3. This equation must be changed.

This paper has been withdrawn by the author due to a crucial error in the submission action.

This paper has been withdrawn by the author due to a crucial error in Lemma 3.5.