# Reading up on $BQP = BPP^{BQNC}$

What should I read to understand this problem?

The power of small-depth quantum circuits. Is $BQP = BPP^{BQNC}$? In other words, can the "quantum" part of any quantum algorithm be compressed to polylog(n) depth, provided we're willing to do polynomial-time classical postprocessing? (This is known to be true for Shor's algorithm.) If so, building a general-purpose quantum computer would be much easier than is generally believed! Incidentally, it's not hard to give an oracle separation between $BQP$ and $BPP^{BQNC}$, but the question is whether there's any concrete function "instantiating" such an oracle. --Scott Aaronson http://www.scottaaronson.com/writings/qchallenge.html