[antepodius]

In a classical computer, every bit of information in the system is in a definite state- 1 or 0. In a quantum system with such definite possible states, what you actually have most of the time of the system in some interpolation of the possible states- so in the quantum computer case each bit is usually in a state a1 + b0, where a and b are complex numbers such that |a^2|+|b^2| = 1.

Most of the time, the 'weight' flows back and forth between a and b according to certain equations over time. When you measure the system- that is, when the bit interacts with the outside world, hopefully your measuring apparatus- you see a 1 or a 0, with probabilities |a^2| and |b^2| respectively.

So what you can do is get a whole bunch of these quantum bits- qubits together, and set things up so that the time-evolution of their quantum state is correlated and probabilistically moves towards something you're interested in. Say you can set things up so the bit array- which, at first, will give you a mere perfectly random bit string on measurement- becomes more and more likely to give you, say, a prime factor, or the answer to some other question.

So yes, the quantum phenomenon is that the bits of the computer are quantum objects as opposed to classical.

[ledauphin]

this is the most comprehensible entry-level description of quantum computers I've ever read. thank you.

(qubits I've seen explained many times, but setting things up so that qubits are probabilistically correlated is the part I've never understood anyone else to be saying)