In this analysis made by ElAnalistaDeBits you can see how the new Battlefield game behaves in Playstation 4 and Xbox One. The video also shows the performance under the bigger version of each platform.
Although the most interesting performance and graphical quality will be achieved by the PC game version, both PS4 and Xbox One versions work nice.
In the video, the user explains how the Xbox One original version uses the lowest resolution in all the options where the DICE and Electronic Arts game can be played.
PS4 and PS4 Pro versions work nice although there are better quality textures and shadows under the PS4 Pro. The framerate also increases a bit.
The better graphical performance is achieved by Xbox One X.