How would I play my Xbox 360 on my Laptop? (HDMI)

[Statyk]

So I've been having this idea of playing my Xbox 360 on my laptop, since it's convenient and HD 1080p. I miss playing games like Halo Reach (Xbox exclusive). I've done a bit of searching and learned:
- My Laptop's HDMI port is an OUTPUT, not an input.
- There is a plug and software called "EasyCap". Problem is it works on components, not HDMI. It's apparently a capture card as well, which is nice, but I don't need it.

Is there a software out there that may run a direct HDMI plug but could switch it from OUTPUT to INPUT? as well as maybe run in full screen or at least a large portion of my screen?

I need my options broadened...