RT Journal Article T1 Resource-theoretic approach to vectorial coherence A1 Bosyk, G. M. A1 Bellomo, G. A1 Luis Aina, Alfredo AB 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. PB Optical Society of America SN 0146-9592 YR 2018 FD 2018-04-01 LK https://hdl.handle.net/20.500.14352/12113 UL https://hdl.handle.net/20.500.14352/12113 LA eng NO © 2018 Optical Society of America.GMB and GB acknowledge CONICET (Argentina). AL acknowledgesfinancial support from Spanish Ministerio de Economía yCompetitividad Project No.FIS2016-75199-P, and from the Comunidad Autónoma de Madrid research consortium QUITEMAD+Grant No. S2013/ICE-2801. NO Ministerio de Economía y Competitividad (MINECO) NO Comunidad de Madrid DS Docta Complutense RD 8 abr 2025