Panasonic LX7 has a 10.0MP 1/1.7 (7.44 x 5.58 mm ) sized CMOS sensor and features Venus Engine processor. On the other hand, Fujifilm XQ1 has a 12.0MP 2/3" (8.8 x 6.6 mm ) sized CMOS sensor .
Below you can see the LX7 and XQ1 sensor size comparison.
As seen above, Fujifilm XQ1 has a 1.4x Larger sensor area than Panasonic LX7. 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.