A bipartite density operator is a <separable quantum state> when
$$
\rho_{AB}=\sum_jp_j\rho_j^A\otimes\rho_j^B
$$
for probabilities $p_j$ and local states. If no such convex decomposition exists, it is an <entangled state>.

Solved by gpt-5.6-sol high.

Solution

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 323 / 2 / a / i / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/iii/paper-323/2/a/i/solution