Murasakiiro no Qualia: Qualia of Purple, a manga about a young girl who sees everyone else in the world as robots, and can apparently predict and act thereby. Then things start to get odd, though still with a rationale behind it. If 60% of Greg Egan wrote a manga, it would be like this.
Qualia the Purple—read on this recommendation and now seconded.
Copying over from your MoR notes: