Thank you for your post.
The Avenza Maps app supports the following type of formats for maps:
Geospatial PDF (.pdf) – A PDF embedded with geographic information
TerraGo GeoPDF (.pdf) – A PDF embedded with geographic information. GeoPDF is a proprietary format of TerraGo
GeoTIFF (.tiff, .tif) – A GeoTIFF is a TIFF file embedded with geographic information
JPG (.jpg) – A JPG is an image file that must be packaged with either a TFW & PRJ or JGW & WKT in a ZIP file
Unfortunately, we aren’t compatible with .qct files. However, if you were able to convert the qct to a PDF or a TIFF you would be able to load the maps into the Avenza Maps app.
If you have any questions don’t hesitate to let me know.