Bound entangled states with non-positive partial transpose exist

TL;DR

This paper claimed to demonstrate the existence of bound entangled states with non-positive partial transpose, but was withdrawn due to an unresolved error in the optimization process.

Contribution

It aimed to establish the existence of a specific class of entangled states with non-positive partial transpose, a significant topic in quantum information theory.

Findings

Claimed existence of bound entangled states with non-positive partial transpose

Paper was withdrawn due to an error in the optimization process

No conclusive results presented

Abstract

This paper has been withdrawn by the author, due a crucial error in the optimization.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.