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Quantum computing

What is quantum computing?

∣+⟩=12(∣0⟩+∣1⟩).\ket{+} = \frac{1}{2}\left(\ket{0}+\ket{1}\right).
(1)

I love the equation (1) very much!

∣+⟩=12[111−1]∣0⟩.\ket{+} = \frac{1}{\sqrt{2}}\begin{bmatrix} 1 & 1 \\ 1 & -1 \end{bmatrix}\ket{0}.
(2)

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The equation (2) shows how to create the plus state using a Hadamard gate. Both equations (1) and (2) describe the same quantum state.

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