I have a very basic question. I have found qubits are represented as complex vectors. I get it totally. I understand bracket notation and vector\matrix algebra. However, I cannot move further from here. It is often referred like the equation below.
$$ |+\rangle=\frac{1}{\sqrt{2}} ( |0\rangle+ |1\rangle) $$
$$ |-\rangle=\frac{1}{\sqrt{2}} ( |0\rangle- |1\rangle) $$
My questions are:
- Why is divided by $\frac{1}{\sqrt{2}} $ ?
- What does this symbol mean $|+\rangle$, $|-\rangle$? I understand what $|0\rangle$ and $|1\rangle$ means.