论文标题
LOCC以外的单复制混合状态的纠缠状态蒸馏
Entangled state distillation from single copy mixed states beyond LOCC
论文作者
论文摘要
没有纯净的状态可以从$ 2 \ otimes 2 $或$ 2 \ otimes 3 $混合状态蒸馏出来。在$ 3 \ otimes 3 $中，可以通过可分离的操作蒸馏而不是通过LOCC蒸馏出来。在这封信中，我们证明了猜想[prl。 103，110502（2009）]，可以通过LOCC将纯净的纠缠以$ 2 \ otimes 4 $系统的形式蒸馏出来，并在较高的维度上进一步改善这些纠缠，以将Schmidt等级$ d $ d $ D $ D $ D $ D $ D $ \ otimes n $混合的状态从$ M+m+m+n \ geqslant 3D $时，从$ m \ otimes n $混合的状态中提炼出来。我们发现了具有目标状态$ d $级别GHz型状态的三方系统的结果。这些结果提供了一类系统，使可分离的操作严格比LOCC强。
No pure entangled state can be distilled from a $2\otimes 2$ or $2\otimes 3$ mixed state by separable operations. In $3\otimes 3$, pure entanglement can be distilled by separable operation but not by LOCC. In this letter, we proved the conjecture [PRL. 103, 110502 (2009)] that it is possible to distill pure entanglement for $2\otimes 4$ system by LOCC and further improve these in higher dimensions to distill a pure entangled state of Schmidt rank $d$ from a $m\otimes n$ mixed state by separable operation when $m+n \geqslant 3d$. We found results for tripartite systems with target state $d$-level GHZ-type state. These results provide a class of systems where separable operation is strictly stronger than LOCC.
