There is no connection between Quedex and TAP other than they share a common director - Christopher Wawn - whose business address is at 4 Cathedral Square. Christopher is a professional director sitting on the board of a few select financial services firms.
Quedex Team
Since shortly after my question you deleted the thread where you were advertising the cards, I'll ask again:
Is there any relationship between Tap and Quedex? At least the address seems to be the same, in a place way too central/touristic for an office building.