The positive partial transpose conjecture for n=3
Quantum Physics
2019-01-30 v2
Abstract
We present the PPT square conjecture introduced by M. Christandl. We prove the conjecture in the case as a consequence of the fact that two-qutrit PPT states have Schmidt at most two. Our result in Lemma 3 is independent from the proof found M\"uller-Hermes. M\"uller-Hermes announced that this conjecture is true for the states on \cite{hermes} recently. The PPT square conjecture in the case is still open.
Cite
@article{arxiv.1807.03636,
title = {The positive partial transpose conjecture for n=3},
author = {Lin Chen and Yu Yang and Waishing Tang},
journal= {arXiv preprint arXiv:1807.03636},
year = {2019}
}