Bitcoin relies on random numbers for keys and signatures. Clients may also rely on them for encryption (salt), and seed generation (HD wallets).
Proving a PRNG is secure is a very difficult task and is impossible when the operating system is not built from source. Quantum mechanics are non-deterministic and thus provide an alternative method of generating randomness.
I just need to wait for a missing component to arrive.

(Stupid broken image proxy - direct link
http://i.minus.com/ibzPEHrUJ3pByt.jpg )
Bonus points if you can figure out what it is without using google.