Bosyk G M, Bellomo G, Luis A
Opt Lett. 2018 Apr 1;43(7):1463-1466. doi: 10.1364/OL.43.001463.
We propose a formal resource-theoretic approach to assess the coherence between partially polarized electromagnetic fields. From this framework, we identify two resource theories for the vectorial coherence: polarization-sensitive coherence and polarization-insensitive coherence. For each theory, we find the set of incoherent states and a class of operations that preserve this set (i.e., the incoherent operations). Both resource theories are endowed with a certain preorder relation that provides a hierarchy among the coherence-polarization states; thus, a necessary condition to consider in deciding whether a quantity is proper to measure the vectorial coherence is that it respects such a hierarchy. Finally, we examine most previously introduced coherence measures from this perspective.
我们提出一种形式化的资源理论方法来评估部分极化电磁场之间的相干性。基于此框架，我们为矢量相干性确定了两种资源理论：偏振敏感相干性和偏振不敏感相干性。对于每种理论，我们找出了非相干态的集合以及一类保持该集合的操作（即非相干操作）。这两种资源理论都具有某种预序关系，该关系在相干 - 偏振态之间提供了一种层次结构；因此，在确定一个量是否适合用于测量矢量相干性时需要考虑的一个必要条件是它要尊重这种层次结构。最后，我们从这个角度审视了大多数先前引入的相干性度量。
