Actually, we're in the opposite situation, XS. A computer which incorporated quantum indeterminacy would allow the possibility of an in principle uncrackable code. That is, a code for which the interpretation key could not be induced by any algorithm whatever. There are mathematical proofs that such computers could run codes which were unbreakable, because no procedure whose run time was bounded by the lifetime of the universe could crack them. There are, quite literally, no tricks available which would allow you to decode the quantum scrambling available for any message you wanted to run on such a computer.
There's a very nice nontechnical discussion of such computers and the corresponding codes in Simon Singh's terrific book on cryptography, The Code Book (Doubleday, 1999). The headache wouldn't be for computer security, but anyone who wanted to breach the security of such a computer—there is, literally, no way in the universe to do it. This is not something that law enforcement wants to hear...