On the distillablity conjecture in matrix theory
Quantum Physics
2024-11-15 v1
Abstract
The distillability conjecture of two-copy 4 by 4 Werner states is one of the main open problems in quantum information. We prove two special cases of the conjecture. The first case occurs when two 4 by 4 matrices A, B are both unitarily equivalent to block diagonal matrices with 2 by 2 blocks. The second case occurs when B is unitarily equivalent to either -A or the transpose of -A. Plus, we propose a simplified version of the distillability conjecture when both A and B are matrices with distinct eigenvalues.
Cite
@article{arxiv.2411.09527,
title = {On the distillablity conjecture in matrix theory},
author = {Saiqi Liu and Chen Lin},
journal= {arXiv preprint arXiv:2411.09527},
year = {2024}
}