There’s another issue also worth pointing out: The classical analog of BQP isn’t P. The classical analog is BPP). It is widely believed that P=BPP, but if P!= BPP then the relevant question in your context will be whether BPP=BQP.
There’s another issue also worth pointing out: The classical analog of BQP isn’t P. The classical analog is BPP). It is widely believed that P=BPP, but if P!= BPP then the relevant question in your context will be whether BPP=BQP.