Sony's New QX10 and QX100 vs. point/shoot cameras

So I have a few questions for photographers. I just saw the sensor size comparison in one of the TheVerge's articles on Sony's new lenses.

My first question is... Since the QX10 and XPERIA Z1 have the same sized sensors, does that mean that the quality of the photos are basically equivalent?

Next question is... Currently, I own Sony's CyberShot HX20 (18 mp). How much of a difference in photograph quality will there be between the QX100 and the HX20?

Sorry if these are elementary questions but I would love to get the best quality photos in any way I can.