We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Recently, the ultrafine entanglement witness was introduced in [F. Shahandeh, M. Ringbauer, J.C. Loredo, and T.C. Ralph, Phys. Rev. Lett. 118, 110502 (2017)], which can seamlessly and easily improve any standard entanglement witness. In this paper, by the combining the constraint and the test operators, we rotate the hyperplane determined by the test operator and improve further the original ultrafine entanglement witness.
We present a series of new ultrafine entanglement witnesses, which can detect entangled states that the original ultrafine entanglement witnesses cannot detect.