论文标题
L1援助一致性规范
The l1 Norm of Coherence of Assistance
论文作者
论文摘要
我们在理论上和操作上介绍和研究援助一致性的L1规范。我们首先为L1的辅助连贯性提供了上限，并为上限饱和提供了必要和足够的条件。对于两个维度量子状态，给出了L1辅助相干性的分析表达。在操作上，始终可以在另一方的本地测量和一种古典交流的帮助下提高混合量子相干性，因为L1的援助一致性规范以及援助的相对相对辅助性的相对熵被证明比原始连贯性大。 L1援助和纠缠一致性规范之间的关系得到了揭示。最后，进行了援助一致性的L1规范与援助相干性的相对熵之间的比较。
We introduce and study the l1 norm of coherence of assistance both theoretically and operationally. We first provide an upper bound for the l1 norm of coherence of assistance and show a necessary and sufficient condition for the saturation of the upper bound. For two and three dimensional quantum states, the analytical expression of the l1 norm of coherence of assistance is given. Operationally, the mixed quantum coherence can always be increased with the help of another party' s local measurement and one way classical communication since the l1 norm of coherence of assistance, as well as the relative entropy of coherence of assistance, is shown to be strictly larger than the original coherence. The relation between the l1 norm of coherence of assistance and entanglement is revealed. Finally, a comparison between the l1 norm of coherence of assistance and the relative entropy of coherence of assistance is made.
