Two Different Qubit States

Learn the concept of two different qubit states and the bloch spheres.

There are two different qubit states for each pair of measurement probabilities of 0|0\rangle and 1|1\rangle. For instance, the states α0+β12\frac{\alpha|0\rangle+\beta|1\rangle}{2} and α0β12\frac{\alpha|0\rangle-\beta|1\rangle}{2} have the identical measurement probabilities, as does any pair of states, such as ψ|\psi\rangle and ψ|\psi'\rangle whose state vector is mirrored at the Z-axis. This is depicted in the following image.

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