well, I owned QP1R some time ago, but it was pretty long ago and I didn't have a chance for direct comparison, so I can only compare by memory. this means I can be 100% wrong here, memory can be tricky
first of all, 361 offers blacker background, notes are better "highlighted" and thus sounds more realistic. also 361 is more uncolored, QP1R isn't really colored too, but 361 makes another step towards neutrality.
361 is more resolving, but here difference won't be big. also QLS (or Quloos) gives small improvement in staging and definitive improvement in power and control (that amp scheme is something superb)
actually, I'd said that 361 is the best price/quality DAP for those who want neutral representation and don't need features like streaming