It would be great if I could share a single note with another user that would by synced with my device.

My example would be if I could share a Note with my wife/kid/employee. Then, they could put a widget to this note on a secondary screen (full or half scree).

Then, have the note stay in sync. When I make a change, they see it. Optionally, I could allow them to edit this note and keep it in sync.

It would be like a note board that I could draw on. I could put a note on her list with the things I need from the store. She could put a note on there to remind me to pick up our son from band practice.

I could also see many applications for this in a work place, etc...