My laptop runs TPA dx11 fine. Constant 60fps with anti-aliasing and high settings. Fact is, the lamps are more blown-out, colors bleed, the game looks muddier in places. I'm comparing the two version using an HDMI cable hooked up to a 50" plasma at 1080p. The PS4 game may or may not have the more realistic lighting but it looks better to me, and I think that's what matters.
That's odd, I don't notice any of the same issues.
You might check your video card settings for a toggle between RGB "full" (0-255) and "limited" (16-235) colorspace. If your PC is outputting a full RGB colorspace but your TV doesn't support it, that can lead to blown-out highlights as well as crushed blacks. The inverse (limited RGB output with full RGB display) will cause everything to lose contrast and look washed out.