Related papers: BPP is in NP and coNP

This paper has been withdrawn Abstract: This paper has been withdrawn by the author due to the publication.

This paper has been withdrawn by the author due to a crucial argument error at p.10.

The relationship between the complexity classes P and NP is an unsolved question in the field of theoretical computer science. In this paper, we look at the link between the P - NP question and the "Deterministic" versus "Non Deterministic"…

The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.

We initiate the study of the relationship between two complexity classes, BQP (Bounded-Error Quantum Polynomial-Time) and PPAD (Polynomial Parity Argument, Directed). We first give a conjecture that PPAD is contained in BQP, and show a…

This submission has been withdrawn at the request of the author.

This paper has been withdrawn by the author due to new results to be added.

This paper has been withdrawn by the author due to a crucial error in eq.59.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

We reveal a natural algebraic problem whose complexity appears to interpolate between the well-known complexity classes BQP and NP: (*) Decide whether a univariate polynomial with exactly m monomial terms has a p-adic rational root. In…

This paper has been withdrawn by the authors, due to a mistake which invalidates the analysis. One can never detect the presence of I=0 new physics in B -> pi pi.

This paper has been withdrawn by the author due to an apparent misunderstanding of quantum feedback control.

This paper discusses why P and NP are likely to be different. It analyses the essence of the concepts and points out that P and NP might be diverse by sheer definition. It also speculates that P and NP may be unequal due to natural laws.

In this article, we discuss the question of whether P equals NP, we do not follow the line of research of many researchers, which is to try to find such a problem Q, and the problem Q belongs to the class of NP-complete, if the problem Q is…

This article finds the answer to the question: for any problem from which a non-deterministic algorithm can be derived which verifies whether an answer is correct or not in polynomial time (complexity class NP), is it possible to create an…

This paper has been withdrawn by the author.

Paper has been withdrawn, see comment.

This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).

The paper has been withdrawn because the proof of part (b) of the main theorem is incomplete.

This paper is wrong and is therefore withdrawn.

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