Gamble with Quantum Computing

Are you into gambling? If yes, quantum computing is for you.

When we measure a qubit, what we observe depends on chance. Unless we measure it, the qubit is in a state of superposition of the states $|0\rangle$ and $|1\rangle$. But once you measure it, it will be either 0 or 1. If we measure a hundred qubits in the same state, we don’t get the same result a hundred times. Instead, we’ll get a list of 0 values and 1 values. The proportion of 0 values and 1 values we get will correspond to the probability distribution the qubit state entails.

In the lesson Quantumic Math, we got to know the Hadamard gate. It allows us to put a qubit into superposition. For instance, if we start with a qubit in the state $|0\rangle$, applying the Hadamard gate results in a qubit in the state $|+\rangle$.

$$|+\rangle=\frac{|0\rangle + |1\rangle}{\sqrt{2}}=\frac{1}{\sqrt{2}}|0\rangle + \frac{1}{\sqrt{2}}|1\rangle=\begin{bmatrix}\frac{1}{\sqrt{2}}\\\frac{1}{\sqrt{2}}\end{bmatrix}$$

The resulting probability amplitudes for both states $|0\rangle$ ...