Sony QX1 has a
20.0MP APS-C (23.2 x 15.4 mm ) sized CMOS sensor and features Bionz X processor. On the other hand, Pentax K20D has a
15.0MP APS-C (23.4 x 15.6 mm ) sized CMOS sensor .
Sony QX1's sensor provides 5MP more than Pentax K20D's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Below you can see the QX1 and K20D sensor size comparison.
Sensor Size and Resolution Comparison image of Sony QX1 and Pentax K20D Cameras
Sony QX1 and Pentax K20D have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the same focal length and aperture.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Sony QX1
or the
Pentax K20D ,
including hyperfocal distance.