We feel that we have cited and credited previous works appropriately in our paper. To clarify:
1) The LOCC simulation of a channel and the corresponding adaptive reduction can be found worked out in full generality in the 2012 Master's thesis of Muller-Hermes. We have cited the original paper BDSW96 on this topic and pointed to the Master's thesis of Muller-Hermes for details.
2) A precise and general statement and proof that covariant channels are teleportation simulable can be found in [WTB17]. One can also find this result stated on page 36 of the notes of Michael Wolf from 2012: https://www-m5.ma.tum.de/foswiki/pub/M5/Allgemeines/MichaelWolf/QChannelLecture.pdf . We will add a citation to Wolf's notes in an eventual revision.
3) Our paper focuses on quantum reading, where we show how to simplify the form of adaptive protocols in this context. The citation to [TW16] appeared only at the very end of our paper, where we indicated that our results can be extended to the bosonic case. If one consults the arXiv, it becomes clear that the bosonic case of adaptive channel discrimination was indeed first considered in [TW16]. In particular,
3a) The post https://arxiv.org/abs/1609.02160v1 dated Sep 7 2016 did not contain results about bosonic channels.
3b) The post https://arxiv.org/abs/1611.09165v1 dated Nov 28 2016 was about adaptive channel discrimination for bosonic channels.
3c) The post https://arxiv.org/abs/1609.02160v2 dated Nov 29 2016 then included results about adaptive channel discrimination of bosonic channels, most of which had already been stated in https://arxiv.org/abs/1611.09165v1 .