The distillable entanglement of a bipartite quantum state does not exceed its entanglement cost. This well known inequality can be understood as a second law of entanglement dynamics in the asymptotic regime of entanglement manipulation, excluding the possibility of perpetual entanglement extraction machines that generate boundless entanglement from a finite reserve. In this paper, I establish a refined second law of entanglement dynamics that holds for the non-asymptotic regime of entanglement manipulation.

翻译：两边量子状态的可蒸馏的纠缠性不会超过其纠缠成本。 这种众所周知的不平等可以被理解为在纠缠操纵的无规律性制度中的第二个纠缠动态法则,排除了永久纠缠的提取机器从有限的储备中产生无边纠缠的可能性。 在本文中,我制定了经改进的第二套纠缠动态法则,它支持了非互缠操纵的不同步制度。