Quantum Computing Explained Simply
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To give a concrete example of this, there is a basic quantum logic gate called a Hadamard gate. This takes a qubit in the state |0> and transforms it into a qubit in the state (|0> + |1>)/sqrt(2). The resultant state is what is known as a superposition state - namely a superposition of both the |0> and |1> states. You can think of the |0> and |1> states as being analogous to the 0 and 1 states of a traditional bit. What this means is that when the qubit is measured (read queried) it will return a value of 0 or 1 with equal probability.
The point I'm making is that this is radically different to traditional computing and isn't simply just the next step along in 'valve transistor -> semiconductor -> ?'
This Part-1 guide in the series is mean't to educate even complete noobs from how a basic computer works and how we have reached the limits of making them any more powerful. While you are accurate when you say Quantum algorithms can help us exploit the quantum behaviour of qubits, we are particularly interested and motivated to utilize them because we can exponentially increase our computing power.
I have another follow-up guide coming that would take the readers a few more levels up very soon.
On some problems.
Quantum computers are --- to the best of our knowledge --- exponentially faster at computing some things (e.g. discrete log and factoring), quadratically faster at others (e.g. NP-complete problems), and no better than classical computers at others.
(I assume you know this since you're writing an article on quantum computers, but want to clarify for others.)
To clarify, qubits don't necessarily have equal probabilities of |0> and |1>. If the probabilities were always equal, we wouldn't be able to use quantum computers for anything besides generating coin flips! The "answer" from a quantum computer is encoded as output probabilities of the qubits, which are found by running the calculations a bunch of times and counting the frequency of each |0> and |1> state.
We are trying to give the authors an ability to contain the contents of a single slide within user view. Our editor is freshly released, so hopefully a future release soon enough would let educators do that and with some interaction features as well.
And quantum computers are not about understanding The Wave or hacking the word simulator. Another commenter post this link, that is a good initial introduction http://www.smbc-comics.com/comic/the-talk-3
(Anyway, to really understand what is quantum mechanics and quantum computers, you need a lot of algebra. Don't trust explanations without algebra.)