Tensor Product Properties

Two spin state are given by \(|\Psi_1\rangle = |\uparrow\rangle\) and \(|\Psi_2 \rangle = \frac{1}{\sqrt{2}} (|\uparrow\rangle + |\downarrow\rangle)\).

Which gives the correct tensor product state \(|\Psi_1 \rangle \otimes |\Psi_2\rangle\)?

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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