论文标题
在证明广义量子Stein的引理及其对量子资源可逆性的后果方面的差距上
On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources
论文作者
论文摘要
我们证明了广义量子Stein的引理的证明[Brandão＆Plenio，Commun。数学。物理。 295，791（2010）]由于论证上的差距而导致引理III.9。因此，Brandão＆Plenio的主要可实现性结果尚不清楚。这使文献中的许多既定结果都质疑，特别是量子纠缠的可逆性[Brandão＆Plenio，Commun。数学。物理。 295，829（2010）;纳特。物理。 4，873（2008）]和一般量子资源[Brandão＆Gour，Phys。莱特牧师。 115，070503（2015）]在渐近资源非生成操作下。我们讨论使用其他方法恢复新未解决结果的变体的潜在方法。
We show that the proof of the generalised quantum Stein's lemma [Brandão & Plenio, Commun. Math. Phys. 295, 791 (2010)] is not correct due to a gap in the argument leading to Lemma III.9. Hence, the main achievability result of Brandão & Plenio is not known to hold. This puts into question a number of established results in the literature, in particular the reversibility of quantum entanglement [Brandão & Plenio, Commun. Math. Phys. 295, 829 (2010); Nat. Phys. 4, 873 (2008)] and of general quantum resources [Brandão & Gour, Phys. Rev. Lett. 115, 070503 (2015)] under asymptotically resource non-generating operations. We discuss potential ways to recover variants of the newly unsettled results using other approaches.
