Sony RX100 II has a 20.0MP 1" (13.2 x 8.8 mm ) sized CMOS sensor . On the other hand, Leica Q2 has a 47.0MP Full frame (36 x 24 mm ) sized CMOS sensor .
Leica Q2's sensor provides 27MP more than Sony RX100 II'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.
One other difference between these two cameras that is worth mentioning is that Leica Q2's sensor doesn't have an anti-alias (Low-Pass) filter. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moire occurring in certain scenes.
Below you can see the RX100 II and Q2 sensor size comparison.
As seen above, Leica Q2 has a 7.4x Larger sensor area than Sony RX100 II. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.
DxOMark Sensor Scores
DxOMark is a benchmark that scientifically assesses image quality of camera sensors. It scores camera sensors for color depth (DXO Portrait), dynamic range (DXO Landscape) and low-light sensitivity (DXO Sports), and also gives them an overall score. Sony RX100 II and Leica Q2 sensors have been tested by DxO and the results show that Q2 has a better overall score of 96, 29 points higher compared to RX100 II's score of 67.