Past exam of the computer science course of the University of Oxford / 2020 / Quantum information / 2 / b / i

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- Solution i

Solution

Factor the coefficients:

∣ Ψ_{1} ⟩ = (\frac{∣0 ⟩ - ∣1 ⟩}{2}) \otimes (\frac{∣0 ⟩ - ∣1 ⟩}{2}) = ∣ - ⟩ \otimes ∣ - ⟩ .

Therefore the first state is a product state, not entangled. Both factors have unit norm, so this factorization also checks normalization.

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