 Solution

ID: past-exam-of-the-short-options-paper-shared-by-prelims-and-parts-a-and-b-of-the-physics-course-of-the-university-of-oxford/2015/s3/3/2/solution

∣ H ⟩_{A} ∣ H ⟩_{B}

, the two projection amplitudes multiply. Therefore

p (θ_{A}, θ_{B}) = cos^{2} θ_{A} cos^{2} θ_{B} .

The independent factors arise from this product input; they cannot be assumed for a general correlated pair state.

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