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∣Ψ⟩=15∣↑↑⟩+25∣↓↑⟩−25∣↓↓⟩|\Psi\rangle = \frac{1}{\sqrt{5}}|\uparrow\uparrow\rangle +\frac{\sqrt{2}}{\sqrt{5}} |\downarrow\uparrow\rangle - \frac{\sqrt{2}}{\sqrt{5}} |\downarrow\downarrow\rangle∣Ψ⟩=51∣↑↑⟩+52∣↓↑⟩−52∣↓↓⟩
Is the state ∣Ψ⟩|\Psi\rangle∣Ψ⟩ above entangled?
Note: The notation ∣↑↓⟩=∣↑⟩⊗∣↓⟩|\uparrow\downarrow\rangle = |\uparrow\rangle \otimes |\downarrow\rangle∣↑↓⟩=∣↑⟩⊗∣↓⟩ is a common shorthand for tensor products of spin states.
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