Does Qt have a model-driven version of QTabBar or QTabWidget?

Question

I want to create a Qt widget that looks like a QTabWidget but where the list of tabs is drawn from a (Qt Model View architecture) data model, like QListView etc. Since QTabWidget has to have separate widgets on each page, this will probably be something like a QTabBar and a single set of widgets under it (eg some buttons and a QTreeView).

• Can QTabBar get its list of tabs from a data model? I'm pretty sure not.
• Is there an equivalent widget that can?
• Can you for example make a QListView with flow=LeftToRight look like a tab bar?

Using Qt4 at the moment. Will consider Qt5.

I'm using PyQt but C++ examples would be fine.