A:
See the review posted on DP Review at
http://connect.dpreview.com/post/9219904986/shootout-samsunggalaxys4-vs-htcone-vs-iphone5-vs-lumia920
The short answer is yes and in fact, it was rated better than the iPhone 5 , the HTC one and the Lumina 920.
Go to the site and see the results for yourself and by all means, download the full size test shots and compare them. You may prefer the color rendition, image quality, white balance and/or scene modes of one of the other phones, so decide for yourself which you prefer. They are all good for phone cameras but as the editors conclude,
"Looking at the samples on the previous pages and above it is clear that not even these high-end smartphones can keep up with decent dedicated compact cameras. Nevertheless there is no doubt that mobile devices are getting better at capturing images with every generation and the phones in this comparison are arguably among the best you can currently get for this purpose."
I hope this helps you make your decision.